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 A236002 #63 Apr 28 2016 14:21:33 %S A236002 1,2,4,12,26,60,144,324,728,1602,3576,7808,17068,36908,79520,170704, %T A236002 364794,777036,1649456,3491188,7367544,15513336,32584648,68307264, %U A236002 142904080,298448914,622235060,1295320004,2692583916,5589586996,11588905844,23999052692 %N A236002 Number of overcompositions of n. %C A236002 Analog to overpartitions, here an overcomposition is defined to be a composition in which the first occurrence of each distinct number may be overlined (see example). %C A236002 Also 1 together with the row sums of A235999. %C A236002 For the number of partitions of n see A000041. %C A236002 For the number of compositions of n see A011782. %C A236002 For the number of overpartitions of n see A015128. %C A236002 Note that there are several orderings of overcompositions, the same as the orderings of compositions, but apparently for every ordering of overcompositions there are also several suborderings according to the arrangements of the overlined parts. The same for overpartitions. See one of them in Example section. %H A236002 Alois P. Heinz, <a href="/A236002/b236002.txt">Table of n, a(n) for n = 0..1000</a> %F A236002 a(n) = Sum_{k=1..A003056(n)} 2^k*A235998(n,k), n >= 1. %e A236002 For n = 4 the 26 overcompositions of 4 are: [4], [4'], [1,3], [1',3], [1,3'], [1',3'], [2,2], [2',2], [1,1,2], [1',1,2], [1,1,2'], [1',1,2'], [3,1], [3',1], [3,1'], [3',1'], [1,2,1], [1',2,1], [1,2',1], [1',2',1], [2,1,1], [2',1,1], [2,1',1], [2',1',1], [1,1,1,1], [1',1,1,1]. %Y A236002 Cf. A000041, A011782, A015128, A235998, A235999, A238439. %K A236002 nonn %O A236002 0,2 %A A236002 _Omar E. Pol_, Jan 19 2014 %E A236002 a(7) corrected and more terms added, _Joerg Arndt_, Jan 20 2014 %E A236002 a(19)-a(31) from _Alois P. Heinz_, Jan 20 2014