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 A194714 #21 May 23 2012 09:38:49 %S A194714 1,2,3,4,5,8,9,14,18,26,32,48,57,82,102,138,169,230,278,370,450,584, %T A194714 709,914,1102,1400,1692,2124,2555,3186,3818,4720,5649,6926,8269,10078, %U A194714 11989,14526,17249,20782,24603,29508,34843,41600,49008,58258,68468,81098 %N A194714 Sum of all odd-indexed parts minus the sum of all even-indexed parts of all partitions of n, with the parts written in nondecreasing order. %C A194714 It appears that A066897 is also another version of this sequence but with the parts written in nonincreasing order. %H A194714 Alois P. Heinz, <a href="/A194714/b194714.txt">Table of n, a(n) for n = 1..1000</a> %e A194714 a(6) = 37 - 29 = 8 because the partitions of 6 written in nondecreasing order are %e A194714 . %e A194714 . 6 = 6 %e A194714 . 3 - 3 = 0 %e A194714 . 2 - 4 = -2 %e A194714 . 2 - 2 + 2 = 2 %e A194714 . 1 - 5 = -4 %e A194714 . 1 - 2 + 3 = 2 %e A194714 . 1 - 1 + 4 = 4 %e A194714 . 1 - 1 + 2 - 2 = 0 %e A194714 . 1 - 1 + 1 - 3 = -2 %e A194714 . 1 - 1 + 1 - 1 + 2 = 2 %e A194714 . 1 - 1 + 1 - 1 + 1 - 1 = 0 %e A194714 ---------------------------------- %e A194714 . 20 - 21 + 14 - 7 + 3 - 1 = 8 %Y A194714 Cf. A066897, A135010, A138121, A141285, A194853. %K A194714 nonn %O A194714 1,2 %A A194714 _Omar E. Pol_, Feb 12 2012 %E A194714 More terms from _Alois P. Heinz_, Feb 12 2012