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 A329322 #24 Dec 10 2021 11:38:03 %S A329322 0,1,1,1,1,2,1,1,3,3,1,2,1,3,5,1,1,4,1,4,6,3,1,2,3,3,6,4,1,7,1,1,6,3, %T A329322 7,6,1,3,6,4,1,7,1,5,12,3,1,2,5,6,6,5,1,9,8,4,6,3,1,9,1,3,14,1,8,9,1, %U A329322 5,6,9,1,7,1,3,13,5,11,10,1,4,10,3,1,9,8,3,6,6,1,18 %N A329322 a(n) is the total number of even parts in all partitions of n into consecutive parts. %H A329322 Antti Karttunen, <a href="/A329322/b329322.txt">Table of n, a(n) for n = 1..20000</a> %F A329322 a(n) = A204217(n) - A329321(n). %e A329322 For n = 15 there are four partitions of 15 into consecutive part, they are [15], [8, 7], [6, 5, 4], [5, 4, 3, 2, 1]. In total there are five even parts, they are [8, 6, 4, 4, 2], so a(15) = 5. %o A329322 (PARI) A329322(n) = { my(i=2, t=!(n%2)); n--; while(n>0, if(!(n%i), t += (!((n/i)%2)+i)\2); n-=i; i++); t }; \\ (After _David A. Corneth_'s program for A204217) - _Antti Karttunen_, Dec 09 2021 %Y A329322 Cf. A204217 (total number of parts). %Y A329322 Cf. A001227, A237048, A245579, A285898, A285914, A286000, A286001, A299765, A328361, A328365, A329321. %K A329322 nonn %O A329322 1,6 %A A329322 _Omar E. Pol_, Nov 10 2019