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 A182994 #16 Dec 01 2013 13:35:01 %S A182994 2,6,16,32,64,132,224,404,704,1156,1880,3060,4748,7396,11346,17054, %T A182994 25454,37706,54980,79756,114702,163394,231288,325408,454138,630542, %U A182994 870504,1194536,1631196,2216992,2997542,4036022,5411108,7223636 %N A182994 Sum of all parts of the n-th subshell of the head of the last section of the set of partitions of any even integer >= 2n. %C A182994 The last section of the set of partitions of 2n contains n subshells. %C A182994 Also first differences of A182736. - Omar E. Pol, Mar 03 2011 %F A182994 a(1) = 2. a(n) = A138880(2n) - A138880(2n-2), n >= 2. %e A182994 a(5)=64 because the 5th subshell of the head of the last section of any even integer >= 10 looks like this: %e A182994 (10 . . . . . . . . . ) %e A182994 ( 5 . . . . 5 . . . . ) %e A182994 ( 6 . . . . . 4 . . . ) %e A182994 ( 7 . . . . . . 3 . . ) %e A182994 ( 4 . . . 3 . . 3 . . ) %e A182994 . (2 . ) %e A182994 . (2 . ) %e A182994 . (2 . ) %e A182994 . (2 . ) %e A182994 . (2 . ) %e A182994 . (2 . ) %e A182994 . (2 . ) %e A182994 There are 17 parts whose sum is 10+5+5+6+4+7+3+4+3+3+2+2+2+2+2+2+2 = 10*5 + 2*7 = 64, so a(5)=64. %Y A182994 Cf. A135010, A138880, A182736, A182742, A182982, A182992, A182995. %K A182994 nonn %O A182994 1,1 %A A182994 _Omar E. Pol_, Feb 06 2011 %E A182994 More terms from Omar E. Pol, Mar 03 2011