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 A096911 #9 May 29 2018 08:22:00 %S A096911 0,1,1,1,2,2,3,3,4,5,6,7,8,10,11,13,15,18,20,23,26,30,34,38,43,49,55, %T A096911 61,69,77,86,95,106,118,131,144,160,177,195,214,236,260,285,312,342, %U A096911 375,410,447,488,534,581,632,688,749,813,882,957,1039,1125,1217,1317,1426 %N A096911 Number of partitions of n into distinct parts with exactly one even part. %F A096911 G.f.: x^2/(1-x^2)*Product(1+x^(2*i+1), i=0..infinity). More generally, g.f. for number of partitions of n into distinct parts with exactly k even parts is x^(k*(k+1))/Product(1-x^(2*i), i=1..k)*Product(1+x^(2*i+1), i=0..infinity). %F A096911 a(n) ~ 3^(1/4) * exp(Pi*sqrt(n/6)) / (2^(5/4) * Pi * n^(1/4)). - _Vaclav Kotesovec_, May 29 2018 %t A096911 Drop[ CoefficientList[ Series[x^2/(1 - x^2) * Product[1 + x^(2*i + 1), {i, 0, 70}], {x, 0, 62}], x], 1] (* _Robert G. Wilson v_, Aug 21 2004 *) %Y A096911 Cf. A000700. %K A096911 easy,nonn %O A096911 1,5 %A A096911 _Vladeta Jovovic_, Aug 17 2004 %E A096911 More terms from _Robert G. Wilson v_, Aug 21 2004