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Task/Bell-numbers/Applesoft-BASIC/bell-numbers.basic
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Task/Bell-numbers/Applesoft-BASIC/bell-numbers.basic
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100 LET ROWS = 15
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110 LET M$ = CHR$ (13)
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120 LET N = ROWS: GOSUB 500"BELLTRIANGLE"
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130 PRINT "FIRST FIFTEEN BELL NUMBERS:"
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140 FOR I = 1 TO ROWS
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150 LET BR = I:BC = 0: GOSUB 350"GETBELL"
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160 HTAB T * 13 + 1
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170 PRINT RIGHT$ (" " + STR$ (I),2)": "BV; MID$ (M$,1,T = 2);
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180 LET T = T + 1 - (T = 2) * 3
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190 NEXT I
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200 PRINT M$"THE FIRST TEN ROWS OF BELL'S TRIANGLE:";
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210 FOR I = 1 TO 10
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220 LET BR = I:BC = 0: GOSUB 350"GETBELL"
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230 PRINT M$BV;
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240 FOR J = 1 TO I - 1
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250 IF I - 1 > = J THEN BR = I:BC = J: GOSUB 350"GETBELL": PRINT " "BV;
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260 NEXT J,I
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270 END
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300 LET BI = BR * (BR - 1) / 2 + BC
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310 RETURN
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350 GOSUB 300"BELLINDEX"
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360 LET BV = TRI(BI)
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370 RETURN
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400 GOSUB 300"BELLINDEX"
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410 LET TRI(BI) = BV
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420 RETURN
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500 DIM TRI(N * (N + 1) / 2)
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510 LET BR = 1:BC = 0:BV = 1: GOSUB 400"SETBELL"
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520 FOR I = 2 TO N
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530 LET BR = I - 1:BC = I - 2: GOSUB 350"GETBELL"
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540 LET BR = I:BC = 0: GOSUB 400"SETBELL"
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550 FOR J = 1 TO I - 1
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560 LET BR = I:BC = J - 1: GOSUB 350"GETBELL":V = BV
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570 LET BR = I - 1:BC = J - 1: GOSUB 350"GETBELL"
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580 LET BR = I:BC = J:BV = V + BV: GOSUB 400"SETBELL"
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590 NEXT J,I
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600 RETURN
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