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.
%I A363675 #61 Oct 18 2023 09:08:06
%S A363675 0,1,6,10,21,36,66,105,120,136,190,210,276,325,465,496,561,630,666,
%T A363675 741,780,990,1081,1176,1225,1540,1596,1830,2080,2145,2346,2556,2926,
%U A363675 3081,3160,3240,3486,3570,3916,4005,4186,4560,4656,4950,5050,5356,5460,5886,6105
%N A363675 Numbers k such that the least common multiple of the degrees of the irreducible characters of S_k equals |S_k| = k!.
%C A363675 Intersection of the sequences of numbers k such that there exists a 2-core partition of k (A267137) and a 3-core partition of k (A000217).
%H A363675 Alois P. Heinz, <a href="/A363675/b363675.txt">Table of n, a(n) for n = 1..100</a>
%H A363675 Diego Martin Duro, <a href="https://arxiv.org/abs/2306.12408">Arithmetic Properties of Character Degrees and the Generalised Knutson Index</a>, arXiv:2306.12408 [math.RT], 2023.
%F A363675 From _Alois P. Heinz_, Jun 16 2023: (Start)
%F A363675 { k : A175595(k,2) > 0 and A175595(k,3) > 0 }.
%F A363675 { k : A010054(k) > 0 and A033687(k) > 0 }. (End)
%Y A363675 Cf. A000142, A000217, A010054, A033687, A175595, A260682, A267137, A363676, A363701.
%K A363675 nonn
%O A363675 1,3
%A A363675 _Diego Martin Duro_, Jun 14 2023
%E A363675 More terms from _Alois P. Heinz_, Jun 16 2023