A091698 - OEIS

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A091698

Matrix inverse of triangle A063967.

1, -1, 1, 1, -3, 1, -1, 8, -5, 1, 1, -23, 19, -7, 1, -1, 74, -69, 34, -9, 1, 1, -262, 256, -147, 53, -11, 1, -1, 993, -986, 615, -265, 76, -13, 1, 1, -3943, 3935, -2571, 1235, -431, 103, -15, 1, -1, 16178, -16169, 10862, -5591, 2216, -653, 134, -17, 1, 1 (list; table; graph; refs; listen; history; internal format)

	OFFSET	`0,5`
	COMMENTS	`Riordan array (1/(1+x), (sqrt(1+6x+5x^2)-x-1)/(2(1+x))). The absolute value array is (1/(1-x),xc(x)/(1-xc(x))) where c(x) is the g.f. of A000108. It factorizes as (1/(1-x),x/(1-x))(1,xc(x)). - Paul Barry (pbarry(AT)wit.ie), Jun 10 2005`
	EXAMPLE	`1; -1,1; 1,-3,1; -1,8,-5,1; 1,-23,19,-7,1; ...` `Contribution from Paul Barry (pbarry(AT)wit.ie), Apr 15 2010: (Start)` `Triangle begins` `1,` `-1, 1,` `1, -3, 1,` `-1, 8, -5, 1,` `1, -23, 19, -7, 1,` `-1, 74, -69, 34, -9, 1,` `1, -262, 256, -147, 53, -11, 1,` `-1, 993, -986, 615, -265, 76, -13, 1,` `1, -3943, 3935, -2571, 1235, -431, 103, -15, 1` `Production matrix begins` `-1, 1,` `0, -2, 1,` `0, 1, -2, 1,` `0, -1, 1, -2, 1,` `0, 1, -1, 1, -2, 1,` `0, -1, 1, -1, 1, -2, 1,` `0, 1, -1, 1, -1, 1, -2, 1,` `0, -1, 1, -1, 1, -1, 1, -2, 1,` `0, 1, -1, 1, -1, 1, -1, 1, -2, 1,` `0, -1, 1, -1, 1, -1, 1, -1, 1, -2, 1 (End)`
	CROSSREFS	`Row sums: A091699. Row sums (absolute values): A007317. Column 1: A050511.` `Sequence in context: A122897 A117425 A168216 * A134380 A124469 A094816` `Adjacent sequences: A091695 A091696 A091697 * A091699 A091700 A091701`
	KEYWORD	`sign,tabl`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Jan 29 2004`

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Last modified February 14 15:32 EST 2012. Contains 205635 sequences.