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 A096742 #3 Mar 30 2012 18:36:40
%S A096742 1,1,3,15,41,387,1017,4715,11917,220323,517545,2403313,6436023,
%T A096742 58028007,53008869
%N A096742 Numerator of a(n)/2^A005187(n-1), the n-th row sums of A096651^(1/2), with a(0)=1.
%C A096742 The denominators are 2^A005187(n-1) (for n>0), where A005187(n) is the number of 1's in binary expansion of 2n. Can the row sums of A096651^(1/2) be said to define the (1/2)-dimensional partitions of n?
%e A096742 Sequence begins: {1,1,3/2,15/8,41/16,387/128,1017/256,...}.
%e A096742 Formed from the row sums of triangular matrix A096651^(1/2), which begins:
%e A096742 {1},
%e A096742 {0,1},
%e A096742 {0,1/2,1},
%e A096742 {0,3/8,1/2,1},
%e A096742 {0,3/16,7/8,1/2,1},
%e A096742 {0,27/128,-1/16,11/8,1/2,1},
%e A096742 {0,35/256,99/128,-5/16,15/8,1/2,1},
%e A096742 {0,103/1024,-229/256,267/128,-9/16,19/8,1/2,1},
%e A096742 {0,-129/2048,7011/1024,-2349/256,595/128,-13/16,23/8,1/2,1},...
%e A096742 The denominator of each element at column n, row k, is A005187(n-k).
%Y A096742 Cf. A096651, A096743, A005187.
%K A096742 more,nonn
%O A096742 0,3
%A A096742 _Paul D. Hanna_, Jul 06 2004