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.

A198381 Total number of parts greater than 1 in all partitions of n minus the number of partitions of n into parts each less than n.

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%I A198381 #18 Mar 30 2012 17:34:09
%S A198381 0,0,0,0,1,2,6,10,20,32,54,81,128,184,273,385,549,754,1048,1412,1917,
%T A198381 2547,3392,4444,5837,7556,9791,12553,16086,20429,25935,32665,41108,
%U A198381 51404,64190,79721,98882,122043,150417,184618,226239
%N A198381 Total number of parts greater than 1 in all partitions of n minus the number of partitions of n into parts each less than n.
%C A198381 Also partial sums of A182699. Total number of emergent parts in all partitions of the numbers <= n.
%C A198381 Also total number of parts of all regions of n that do not contain 1 as a part (Cf. A083751, A187219). - Omar E. Pol, Mar 04 2012
%F A198381 a(n) = A096541(n) - A000065(n) = 1 + A096541(n) - A000041(n) = 1 + A006128(n) - A000070(n).
%F A198381 a(n) = A006128(n) - A026905(n), n >= 1.
%Y A198381 Cf. A000041, A000065, A000070, A006128, A026905, A093694, A096541, A135010, A138121, A182699, A182707, A182709, A183152, A193827, A196930, A196931.
%K A198381 nonn
%O A198381 0,6
%A A198381 _Omar E. Pol_, Oct 27 2011