cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A056068 Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).

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%I A056068 #13 May 26 2024 09:18:32
%S A056068 416,417,916,917,1974,1975,2440,2441,2910,2911,3194,3195,3778,3779,
%T A056068 4024,4025,4288,4289,4660,4661,4954,4955,5326,5327,5982,5983,6706,
%U A056068 6707,6830,6831,6860,6861,6878,6879,6950,6951,6952,6953,7102,7103,7126,7127
%N A056068 Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).
%C A056068 Numbers k such that A056039(k) > floor(k/2) + 1. - _Amiram Eldar_, May 24 2024
%H A056068 Amiram Eldar, <a href="/A056068/b056068.txt">Table of n, a(n) for n = 1..10000</a>
%t A056068 q[n_] := Module[{k = 1}, NestWhile[#/(++k)^2 &, n!, IntegerQ]; k - 1] > Floor[n/2] + 1; Select[Range[7200], q] (* _Amiram Eldar_, May 24 2024 *)
%Y A056068 Cf. A056038, A056039, A056042, A056043, A056044.
%Y A056068 Subsequence of A056067.
%K A056068 nonn
%O A056068 1,1
%A A056068 _Labos Elemer_, Jul 26 2000