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 A352257 #29 Apr 18 2022 22:51:12 %S A352257 1,2,3,4,5,12,7,8,18,10,11,24,13,14,45,16,17,36,19,40,42,22,23,48,50, %T A352257 26,54,56,29,90,31,32,66,34,105,72,37,38,78,80,41,126,43,44,180,46,47, %U A352257 96,98,100,102,52,53,162,110,112,114,58,59,180,61,62,252,64,130,198 %N A352257 Sum of all parts of all partitions of n into an odd number of consecutive parts. %C A352257 a(n) is n times the number of partitions of n into an odd number of consecutive parts. %F A352257 a(n) = n*A082647(n). %F A352257 a(n) = A245579(n) - A352505(n). - _Omar E. Pol_, Mar 19 2022 %e A352257 For n = 15 the partitions of 15 into an odd number of consecutive parts are [15], [6, 5, 4] and [5, 4, 3, 2, 1], so a(15) = 15 + 6 + 5 + 4 + 5 + 4 + 3 + 2 + 1 = 15*3 = 45. %o A352257 (PARI) a(n) = my(q = sqrt(2*n)); n*sumdiv(n, d, (d%2) && (d < q)); \\ _Michel Marcus_, Mar 11 2022; after A082647 %Y A352257 Row sums of A352499. %Y A352257 Cf. A066186, A082647, A237048, A245579, A286000, A286001, A299765, A351824, A352505. %K A352257 nonn %O A352257 1,2 %A A352257 _Omar E. Pol_, Mar 09 2022