Time for an 2014 update…
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2520 changed files with 34227 additions and 7318 deletions
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@ -1,22 +1,22 @@
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#!/usr/bin/awk -f
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BEGIN {
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N = 100000;
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print "Q-sequence(1..10) : " Qsequence(10);
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Qsequence(N,Q);
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print "1000th number of Q sequence : " Q[1000];
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N = 100000
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print "Q-sequence(1..10) : " Qsequence(10)
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Qsequence(N,Q)
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print "1000th number of Q sequence : " Q[1000]
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for (n=2; n<=N; n++) {
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if (Q[n]<Q[n-1]) NN++;
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if (Q[n]<Q[n-1]) NN++
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}
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print "number of Q(n)<Q(n+1) for n<=100000 : " NN;
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print "number of Q(n)<Q(n+1) for n<=100000 : " NN
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}
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function Qsequence(N,Q) {
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Q[1] = 1;
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Q[2] = 1;
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seq = "1 1";
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Q[1] = 1
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Q[2] = 1
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seq = "1 1"
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for (n=3; n<=N; n++) {
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Q[n] = Q[n-Q[n-1]]+Q[n-Q[n-2]];
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seq = seq" "Q[n];
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Q[n] = Q[n-Q[n-1]]+Q[n-Q[n-2]]
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seq = seq" "Q[n]
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}
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return seq;
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return seq
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}
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@ -0,0 +1,9 @@
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function Q(n)
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N = maximum(n)
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q = Array(Int, N)
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q[1], q[2] = 1, 1
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for i = 3:N
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q[i] = q[i - q[i-1]] + q[i - q[i-2]]
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end
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return q[n]
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end
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@ -0,0 +1,15 @@
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julia> Q(1:10)
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10-element Array{Int64,1}:
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1
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1
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2
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3
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3
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4
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5
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5
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6
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6
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julia> Q(1000)
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502
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@ -0,0 +1,2 @@
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julia> sum(diff(Q(1:10^5)) .< 0)
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49798
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