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.

A160644 First of two sequences bisecting the second differences of the partition numbers (see A053445).

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%I A160644 #8 Aug 05 2019 11:05:46
%S A160644 1,1,2,3,4,7,10,14,22,32,45,67,95,134,192,269,373,521,718,983,1346,
%T A160644 1827,2465,3323,4449,5929,7882,10426,13735,18047,23613,30788,40034,
%U A160644 51877,67013,86341,110905,142063,181529,231340,294077,372977,471908,595725,750432
%N A160644 First of two sequences bisecting the second differences of the partition numbers (see A053445).
%C A160644 A160644 also counts selected unrestricted partition having an EVEN total and with minimum part two. For example it counts these three partitions of eight: 4+4, 3+3+2, and 2+2+2+2.
%H A160644 Nathaniel Johnston, <a href="/A160644/b160644.txt">Table of n, a(n) for n = 1..2500</a>
%e A160644 A053445 begins
%e A160644 1 0 1 0 2 0 3 1 4 2 7 3 10 7 14 11 22 17 32 28 45 ...
%e A160644 therefore a(n) begins
%e A160644 1 1 2 3 4 7 10 14 22 32 45 67 95 134 192 ...
%t A160644 Take[Differences[PartitionsP[Range[0,100]],2],{1,-1,2}] (* _Harvey P. Dale_, Aug 05 2019 *)
%Y A160644 Cf. A000041, A002685, A053445, A160643, A161921 (the other bisection).
%K A160644 easy,nonn
%O A160644 1,3
%A A160644 _Alford Arnold_, May 21 2009