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 A103421 #11 Mar 24 2018 17:19:59 %S A103421 1,1,2,3,7,14,30,62,129,263,534,1076,2160,4318,8612,17145,34097,67764, %T A103421 134638,267506,531606,1056812,2101854,4182462,8327263,16588973, %U A103421 33066080,65945522,131588128,262702054,524699094,1048433468,2095744336 %N A103421 Number of compositions of n in which the greatest part is odd. %F A103421 G.f.: Sum((1-x)^2*x^(2*n-1)/((1-2*x+x^(2*n-1))*(1-2*x+x^(2*n))), n=1..infinity). %F A103421 a(n) + A103422(n) = 2^(n-1). - _R. J. Mathar_, Mar 24 2018 %t A103421 Rest[ CoefficientList[ Series[ Expand[ Sum[(1 - x)^2*x^(2n - 1)/((1 - 2x + x^(2n - 1))*(1 - 2x + x^(2n))), {n, 35}]], {x, 0, 35}], x]] (* _Robert G. Wilson v_, Feb 05 2005 *) %Y A103421 Cf. A103419, A103420, A103422, A027187, A027193, A026804, A026805. %K A103421 easy,nonn %O A103421 1,3 %A A103421 _Vladeta Jovovic_, Feb 04 2005 %E A103421 More terms from _Robert G. Wilson v_, Feb 05 2005