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 A206556 #22 Dec 01 2013 13:35:02
%S A206556 0,0,0,0,0,1,0,1,1,2,2,5,4,8,9,14,16,26,28,42,50,69,82,114,133,179,
%T A206556 215,279,335,434,516,657,789,987,1182,1473,1754,2164,2583,3154,3755,
%U A206556 4567,5414,6542,7753,9307,11000,13158,15501,18456,21712,25731,30196,35677
%N A206556 Number of 6's in the last section of the set of partitions of n.
%C A206556 Zero together with the first differences of A024790. Also number of occurrences of 6 in all partitions of n that do not contain 1 as a part. For the definition of "last section of n" see A135010. It appears that the sums of six successive terms give the partition numbers A000041.
%F A206556 It appears that A000041(n) = Sum_{j=1..6} a(n+j), n >= 0.
%o A206556 (Sage) A206556 = lambda n: sum(list(p).count(6) for p in Partitions(n) if 1 not in p)
%Y A206556 Column 6 of A182703 and of A194812.
%Y A206556 Cf. A000041, A135010, A138121, A182712-A182714, A206556-A206560.
%K A206556 nonn
%O A206556 1,10
%A A206556 _Omar E. Pol_, Feb 09 2012