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5
Task/Pell-numbers/J/pell-numbers-1.j
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5
Task/Pell-numbers/J/pell-numbers-1.j
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@ -0,0 +1,5 @@
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nextPell=: , 1 2+/ .*_2&{. NB. pell, list extender
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Pn=: (%:8) %~(1+%:2)&^ - (1-%:2)&^ NB. pell, closed form
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Qn=: (1+%:2)&^ + (1-%:2)&^ NB. pell lucas, closed form
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QN=: +: %&Pn ] NB. pell lucas, closed form
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qn=: 2 * (+&Pn <:) NB. pell lucas, closed form
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12
Task/Pell-numbers/J/pell-numbers-2.j
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12
Task/Pell-numbers/J/pell-numbers-2.j
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@ -0,0 +1,12 @@
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nextPell^:9(0 1)
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0 1 2 5 12 29 70 169 408 985 2378
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Pn i.11
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0 1 2 5 12 29 70 169 408 985 2378
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nextPell^:9(2 2)
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2 2 6 14 34 82 198 478 1154 2786 6726
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Qn i.11
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2 2 6 14 34 82 198 478 1154 2786 6726
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QN i.11
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0 2 6 14 34 82 198 478 1154 2786 6726
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qn i.11
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2 2 6 14 34 82 198 478 1154 2786 6726
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3
Task/Pell-numbers/J/pell-numbers-3.j
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3
Task/Pell-numbers/J/pell-numbers-3.j
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@ -0,0 +1,3 @@
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QN=: 2 >. +: %&Pn ]
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QN i.11
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2 2 6 14 34 82 198 478 1154 2786 6726
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4
Task/Pell-numbers/J/pell-numbers-4.j
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4
Task/Pell-numbers/J/pell-numbers-4.j
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@ -0,0 +1,4 @@
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}.(%~ _1}. +//.@,:~) nextPell^:9(0 1)
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1 1.5 1.4 1.41667 1.41379 1.41429 1.4142 1.41422 1.41421 1.41421
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}.(%~ _1}. +//.@,:~) nextPell^:9(0 1x)
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1 3r2 7r5 17r12 41r29 99r70 239r169 577r408 1393r985 3363r2378
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2
Task/Pell-numbers/J/pell-numbers-5.j
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2
Task/Pell-numbers/J/pell-numbers-5.j
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@ -0,0 +1,2 @@
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10{.(#~ 1&p:)nextPell^:99(0 1x)
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2 5 29 5741 33461 44560482149 1746860020068409 68480406462161287469 13558774610046711780701 4125636888562548868221559797461449
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2
Task/Pell-numbers/J/pell-numbers-6.j
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2
Task/Pell-numbers/J/pell-numbers-6.j
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@ -0,0 +1,2 @@
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10{.I. 1&p:nextPell^:99(0 1x)
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2 3 5 11 13 29 41 53 59 89
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2
Task/Pell-numbers/J/pell-numbers-7.j
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2
Task/Pell-numbers/J/pell-numbers-7.j
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@ -0,0 +1,2 @@
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_2 +/\ nextPell^:20(0 1x)
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1 7 41 239 1393 8119 47321 275807 1607521 9369319 54608393
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11
Task/Pell-numbers/J/pell-numbers-8.j
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Task/Pell-numbers/J/pell-numbers-8.j
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@ -0,0 +1,11 @@
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}.(21$1 0)#|:(}.,~0 1+/+/\@}:)nextPell^:(20)0 1
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3 4 5
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20 21 29
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119 120 169
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696 697 985
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4059 4060 5741
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23660 23661 33461
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137903 137904 195025
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803760 803761 1136689
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4684659 4684660 6625109
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27304196 27304197 38613965
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