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 A124755 #5 Jul 24 2013 18:29:44
%S A124755 0,1,2,2,3,3,3,4,4,4,4,5,4,6,5,8,5,5,5,6,5,7,6,9,5,8,7,11,6,11,9,16,6,
%T A124755 6,6,7,6,8,7,10,6,9,8,12,7,12,10,17,6,10,9,14,8,14,12,20,7,14,12,22,
%U A124755 10,20,17,32,7,7,7,8,7,9,8,11,7,10,9,13,8,13,11,18,7,11,10,15,9,15,13,21,8,15
%N A124755 Binomial sum of compositions in standard order.
%C A124755 The standard order of compositions is given by A066099.
%C A124755 This is the final term of the binomial transform of the composition.
%H A124755 Alois P. Heinz, <a href="/A124755/b124755.txt">Rows n = 0..14, flattened</a>
%F A124755 For a composition b(1),...,b(k), a(n) = Sum_{i=1}^k C(k-1,i-1) b(i).
%e A124755 Composition number 11 is 2,1,1; 1*2+2*1+1*1 = 5, so a(11) = 5.
%e A124755 The table starts:
%e A124755 0
%e A124755 1
%e A124755 2 2
%e A124755 3 3 3 4
%Y A124755 Cf. A066099, A070939, A124756, A011782 (row lengths), A003462 (row sums).
%K A124755 easy,nonn,tabf
%O A124755 0,3
%A A124755 _Franklin T. Adams-Watters_, Nov 06 2006