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 A352505 #15 Apr 23 2022 09:44:42 %S A352505 0,0,3,0,5,0,7,0,9,10,11,0,13,14,15,0,17,18,19,0,42,22,23,0,25,26,54, %T A352505 0,29,30,31,0,66,34,35,36,37,38,78,0,41,42,43,44,90,46,47,0,49,50,102, %U A352505 52,53,54,110,0,114,58,59,60,61,62,126,0,130,66,67,68,138,70,71,0 %N A352505 Sum of all parts of all partitions of n into an even number of consecutive parts. %F A352505 a(n) = n*A131576(n). %F A352505 a(n) = A245579(n) - A352257(n). %e A352505 For n = 21 the partitions of 21 into an even number of consecutive parts are [11, 10] and [6, 5, 4, 3, 2, 1], so a(21) = 11 + 10 + 6 + 5 + 4 + 3 + 2 + 1 = 21*2 = 42. %Y A352505 Indices of zero terms give A082662. %Y A352505 Indices of nonzero terms give A281005. %Y A352505 Cf. A066186, A131576, A245579, A285891, A286000, A286001, A299765, A352257. %K A352505 nonn %O A352505 1,3 %A A352505 _Omar E. Pol_, Mar 19 2022