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 A096743 #4 Mar 30 2012 18:36:40
%S A096743 1,1,5,35,135,1755,6303,39815,132675,3322515,10561455,64566253,
%T A096743 199681945,2391238415,7233344915
%N A096743 Numerator of a(n)/2^A005187(n-1), the n-th row sums of A096651^(3/2), with a(0)=1.
%C A096743 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^(3/2) be said to define the (3/2)-dimensional partitions of n?
%F A096743 a(n)/2^A005187(n-1) = Sum_{k=0..n} A096651(n, k)*A096742(k)/2^A005187(k-1).
%e A096743 Sequence begins: {1,1,5/2,35/8,135/16,1755/128,6303/256,...}.
%e A096743 Formed from the row sums of triangular matrix A096651^(3/2), which begins:
%e A096743 {1},
%e A096743 {0,1},
%e A096743 {0,3/2,1},
%e A096743 {0,15/8,3/2,1},
%e A096743 {0,41/16,27/8,3/2,1},
%e A096743 {0,387/128,53/16,39/8,3/2,1},
%e A096743 {0,1017/256,987/128,65/16,51/8,3/2,1},
%e A096743 {0,4715/1024,753/256,2067/128,77/16,63/8,3/2,1},
%e A096743 {0,11917/2048,29983/1024,-4503/256,3819/128,89/16,75/8,3/2,1},...
%e A096743 The denominator of each element at column n, row k, is A005187(n-k).
%Y A096743 Cf. A096651, A096742, A005187.
%K A096743 more,nonn
%O A096743 0,3
%A A096743 _Paul D. Hanna_, Jul 06 2004