A127710 - OEIS

This site is supported by donations to The OEIS Foundation.

A127710

Inverse of the triangle A(n,k)=if(k<=n,if(n<=2k,1/(n+1),0),0).

1, 0, 2, 0, -2, 3, 0, 2, -3, 4, 0, 0, 0, -4, 5, 0, -2, 3, 0, -5, 6, 0, 0, 0, 0, 0, -6, 7, 0, 2, -3, 4, 0, 0, -7, 8, 0, 0, 0, 0, 0, 0, 0, -8, 9, 0, 0, 0, -4, 5, 0, 0, 0, -9, 10, 0, 0 (list; table; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`It is conjectured that all elements of this triangle are integers. It appears that the row sums are the ruler function A001511.`
	EXAMPLE	`Triangle begins` `1,` `0, 2,` `0, -2, 3,` `0, 2, -3, 4,` `0, 0, 0, -4, 5,` `0, -2, 3, 0, -5, 6,` `0, 0, 0, 0, 0, -6, 7,` `0, 2, -3, 4, 0, 0, -7, 8,` `0, 0, 0, 0, 0, 0, 0, -8, 9,` `0, 0, 0, -4, 5, 0, 0, 0, -9, 10,` `0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 11,` `0, -2, 3, 0, -5, 6, 0, 0, 0, 0, -11, 12,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 13` `Triangle is the inverse of the triangle` `1,` `0, 1/2,` `0, 1/3, 1/3,` `0, 0, 1/4, 1/4,` `0, 0, 1/5, 1/5, 1/5,` `0, 0, 0, 1/6, 1/6, 1/6,` `0, 0, 0, 1/7, 1/7, 1/7, 1/7,` `0, 0, 0, 0, 1/8, 1/8, 1/8, 1/8,` `0, 0, 0, 0, 1/9, 1/9, 1/9, 1/9, 1/9,` `0, 0, 0, 0, 0, 1/10, 1/10, 1/10, 1/10, 1/10,` `0, 0, 0, 0, 0, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11`
	CROSSREFS	`Sequence in context: A204329 A111565 A141099 * A137510 A067871 A198632` `Adjacent sequences: A127707 A127708 A127709 * A127711 A127712 A127713`
	KEYWORD	`sign,tabl`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 24 2007`

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

Last modified February 13 14:48 EST 2012. Contains 205514 sequences.