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 A118052 #9 Aug 08 2025 16:34:22
%S A118052 1,1,1,2,4,5,8,10,16,22,32,42,58,75,101,131,174,223,293,372,480,607,
%T A118052 772,968,1220,1517,1895,2345,2908,3576,4408,5390,6604,8038,9788,11853,
%U A118052 14366,17315,20881,25070,30098,35990,43034,51272,61074,72522,86073,101878,120520
%N A118052 Number of partitions of n which contain their signature as a subpartition.
%C A118052 What is lim_{n->infinity} a(n)/p(n) (where p(n) = A000041(n) is the partition function)? It appears to be converging to something close to 0.8.
%C A118052 The limit must be at least 0.83846 = a(64)/p(64) and is probably closer to 0.9. - _Charlie Neder_, Aug 30 2018
%H A118052 Charlie Neder, <a href="/A118052/b118052.txt">Table of n, a(n) for n = 0..64</a>
%e A118052 For n=3, signature([3]) = [1] is a subpartition of [3], signature([2,1]) = [1^2] is a subpartition of [2,1], but signature([1^3]) = [3] is not a subpartition of [1^3], so a(3)=2.
%Y A118052 Cf. A000041, A115621, A115622, A000041, A118053, A118054.
%K A118052 nonn
%O A118052 0,4
%A A118052 _Franklin T. Adams-Watters_, Apr 10 2006
%E A118052 a(26) onwards from _Charlie Neder_, Aug 30 2018