A096742 - OEIS

This site is supported by donations to The OEIS Foundation.

A096742

Numerator of a(n)/2^A005187(n-1), the n-th row sums of A096651^(1/2), with a(0)=1.

1, 1, 3, 15, 41, 387, 1017, 4715, 11917, 220323, 517545, 2403313, 6436023, 58028007, 53008869 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`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?`
	LINKS	`Table of n, a(n) for n=0..14.`
	EXAMPLE	`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).`
	CROSSREFS	`Cf. A096651, A096743, A005187.` `Sequence in context: A146853 A183476 A014309 * A012256 A012222 A069267` `Adjacent sequences: A096739 A096740 A096741 * A096743 A096744 A096745`
	KEYWORD	`more,nonn`
	AUTHOR	`Paul D. Hanna, Jul 06 2004`
	STATUS	`approved`

Content is available under The OEIS End-User License Agreement .

Last modified May 24 21:29 EDT 2013. Contains 225631 sequences.