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 A206555 #20 Nov 30 2013 21:30:38
%S A206555 0,0,0,0,1,0,1,1,2,3,4,5,8,10,15,18,26,32,44,56,73,92,120,149,193,238,
%T A206555 302,373,469,576,716,876,1081,1316,1615,1954,2383,2875,3483,4188,5048,
%U A206555 6043,7253,8653,10341,12293,14634,17340,20567,24300,28717,33830
%N A206555 Number of 5's in the last section of the set of partitions of n.
%C A206555 Zero together with the first differences of A024789. Also number of occurrences of 5 in all partitions of n that do not contain 1 as a part. It appears that the sum of five successive terms gives the partition numbers A000041 (see A182703 and A194812).
%F A206555 It appears that A000041(n) = Sum_{j=1..5} a(n+j), n >= 0.
%o A206555 (Sage) A206555 = lambda n: sum(list(p).count(5) for p in Partitions(n) if 1 not in p)
%Y A206555 Column 5 of A182703 and of A194812.
%Y A206555 Cf. A135010, A138121, A182712-A182714.
%K A206555 nonn
%O A206555 1,9
%A A206555 _Omar E. Pol_, Feb 09 2012
%E A206555 More terms from _Alois P. Heinz_, Feb 20 2012