0,3

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?

Sequence begins: {1,1,3/2,15/8,41/16,387/128,1017/256,...}.

Formed from the row sums of triangular matrix A096651^(1/2), which begins:

{1},

{0,1},

{0,1/2,1},

{0,3/8,1/2,1},

{0,3/16,7/8,1/2,1},

{0,27/128,-1/16,11/8,1/2,1},

{0,35/256,99/128,-5/16,15/8,1/2,1},

{0,103/1024,-229/256,267/128,-9/16,19/8,1/2,1},

{0,-129/2048,7011/1024,-2349/256,595/128,-13/16,23/8,1/2,1},...

The denominator of each element at column n, row k, is A005187(n-k).

Cf. A096651, A096743, A005187.

Adjacent sequences: A096739 A096740 A096741 this_sequence A096743 A096744 A096745

Sequence in context: A117561 A065765 A014309 this_sequence A012256 A012222 A069267

more,nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Jul 06 2004