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.

A206558 Number of 8's in the last section of the set of partitions of n.

This page as a plain text file.
%I A206558 #22 Dec 01 2013 13:35:02
%S A206558 0,0,0,0,0,0,0,1,0,1,1,2,2,4,4,8,8,13,15,23,26,38,45,63,74,101,120,
%T A206558 160,191,248,298,383,457,579,694,868,1038,1287,1536,1890,2251,2746,
%U A206558 3267,3962,4698,5665,6706,8043,9496,11337,13354,15876,18657,22089
%N A206558 Number of 8's in the last section of the set of partitions of n.
%C A206558 Zero together with the first differences of A024792. Also number of occurrences of 8 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 eight successive terms give the partition numbers A000041.
%F A206558 It appears that A000041(n) = Sum_{j=1..8} a(n+j), n >= 0.
%o A206558 (Sage) A206558 = lambda n: sum(list(p).count(8) for p in Partitions(n) if 1 not in p)
%Y A206558 Column 8 of A182703 and of A194812.
%Y A206558 Cf. A000041, A135010, A138121, A182712-A182714, A206555- A206557, A206559, A206560.
%K A206558 nonn
%O A206558 1,12
%A A206558 _Omar E. Pol_, Feb 09 2012