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Numbers k such that A030717(k) = 3.
9

%I #20 Nov 19 2022 10:58:36

%S 6,8,9,12,13,15,19,32,39,41,42,46,48,49,50,54,56,57,66,67,77,78,79,91,

%T 92,107,108,125,126,146,149,169,172,173,182,194,197,198,207,225,226,

%U 236,256,257,267,289,292,300,325,327,336,362

%N Numbers k such that A030717(k) = 3.

%H Seiichi Manyama, <a href="/A030725/b030725.txt">Table of n, a(n) for n = 1..1000</a>

%H Michael De Vlieger, <a href="/A030725/a030725.png">Plot a(s(j) + k - 1) at (j,k)</a> for j = 1..512 and s = partial sums of A030719, showing a(m) = 3 in red, a(m) = 1 in medium blue for reference, and other values of a(m) in light blue.

%t nn = 30; m = 3; c[_] = 0; k = a[1] = c[1] = 1; Reap[Do[w = Union@ Array[a, k]; Do[Set[a[j + k], c[w[[j]]]]; If[a[j + k] == m, Sow[m]], {j, Length[w]}]; Do[c[a[j + k]]++, {j, Length[w]}]; k += Length[w], {n, nn}] ][[-1, -1]] (* _Michael De Vlieger_, Nov 19 2022 *)

%Y Cf. A030723, A030724, A030726.

%Y Cf. A030717.

%K nonn

%O 1,1

%A _Clark Kimberling_

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