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 A182992 #19 Nov 23 2019 04:05:55 %S A182992 1,2,5,9,17,34,55,96,163,260,413,658,1000,1528,2304,3405,5003,7302, %T A182992 10497,15022,21330,30010,41980,58395,80607,110740,151334,205623, %U A182992 278119,374513,501842,669828,890461,1178960,1555314 %N A182992 Number of parts of the n-th subshell of the head of the last section of the set of partitions of any even integer >= 2n. %C A182992 The last section of the set of partitions of 2n contains n subshells. %C A182992 Also first differences of A182734. - _Omar E. Pol_, Mar 03 2011 %F A182992 a(1) = 1. a(n) = A138135(2n) - A138135(2n-2), n >= 2. %e A182992 a(5)=17 because the 5th subshell of the head of the last section of any even integer >= 10 looks like this: %e A182992 (10 . . . . . . . . . ) %e A182992 ( 5 . . . . 5 . . . . ) %e A182992 ( 6 . . . . . 4 . . . ) %e A182992 ( 7 . . . . . . 3 . . ) %e A182992 ( 4 . . . 3 . . 3 . . ) %e A182992 . (2 . ) %e A182992 . (2 . ) %e A182992 . (2 . ) %e A182992 . (2 . ) %e A182992 . (2 . ) %e A182992 . (2 . ) %e A182992 . (2 . ) %e A182992 The subshell has 17 parts, so a(5)=17. %Y A182992 Cf. A135010, A138135, A182734, A182742, A182982, A182993, A182994. %K A182992 nonn %O A182992 1,2 %A A182992 _Omar E. Pol_, Feb 06 2011 %E A182992 More terms from _Omar E. Pol_, Mar 03 2011