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A254608 a(n) is the smallest number such that A254606(a(n)) = n. 1

%I #7 Mar 19 2015 07:12:37

%S 1,2,9,14,27,26,34,63,64,53,89,115,88,165,101,116,132,292,149,185,166,

%T 225,271,205,270,318,247,397,294,293,319,370,371,344,399,398,427,691,

%U 489,488,553,552,520,655,658,620,622,769,621,693,656,731,851,810,732

%N a(n) is the smallest number such that A254606(a(n)) = n.

%H Lei Zhou, <a href="/A254608/b254608.txt">Table of n, a(n) for n = 0..10000</a>

%e A254606(1)=0, so a(0)=1;

%e A254606(2)=1, so a(1)=2;

%e A254606(m)<2 for all m<9, and A254606(9)=2, so a(2)=9.

%t NumDiff[n1_, n2_] := Module[{c1 = n1, c2 = n2}, If[c1 < c2, c1 = c1 + c2; c2 = c1 - c2; c1 = c1 - c2];

%t k = Floor[c1/c2]; a1 = c1 - k*c2; If[a1 == 0, a2 = 0, a2 = (k + 1) c2 - c1]; Return[Min[a1, a2]]];

%t a = {1}; n = 0; p1 = 2; p2 = 1; lb = 0; While[lb < 100, n++; p2 = NextPrime[p2]; If[p2 > p1, p1 = p2; p2 = 2];

%t d = NumDiff[p1, p2]; While[l = Length[a]; l <= d, AppendTo[a, 0]]; If[a[[d + 1]] == 0, a[[d + 1]] = n; ps = Position[a, 0]; If[Length[ps] == 0, b = a, ps1 = ps[[1]][[1]]; b = Take[a, ps1 - 1]]; lb = Length[b]]]; b

%Y Cf. A254606.

%K nonn

%O 0,2

%A _Lei Zhou_, Feb 02 2015

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Last modified April 25 11:30 EDT 2024. Contains 371967 sequences. (Running on oeis4.)