A127711 - OEIS

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A127711

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

1, 0, 1, 0, -1, 2, 0, 1, -2, 3, 0, 0, 0, -3, 5, 0, -1, 2, 0, -5, 8, 0, 0, 0, 0, 0, -8, 13, 0, 1, -2, 3, 0, 0, -13, 21, 0, 0, 0, 0, 0, 0, 0, -21, 34, 0, 0, 0, -3, 5, 0, 0, 0, -34, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 89, 0, -1, 2, 0, -5, 8, 0, 0, 0, 0, -89, 144 (list; table; graph; refs; listen; history; text; internal format)

	OFFSET	`0,6`
	COMMENTS	`It is conjectured that all elements of this triangle are integers. Row sums are A127712.`
	LINKS	`Table of n, a(n) for n=0..77.`
	EXAMPLE	`Triangle begins` `1;` `0, 1;` `0, -1, 2;` `0, 1, -2, 3;` `0, 0, 0, -3, 5;` `0, -1, 2, 0, -5, 8;` `0, 0, 0, 0, 0, -8, 13;` `0, 1, -2, 3, 0, 0, -13, 21;` `0, 0, 0, 0, 0, 0, 0, -21, 34;` `0, 0, 0, -3, 5, 0, 0, 0, -34, 55;` `0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 89;` `0, -1, 2, 0, -5, 8, 0, 0, 0, 0, -89, 144;` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 233;` `Triangle is the inverse of the triangle` `1;` `0, 1;` `0, 1/2, 1/2;` `0, 0, 1/3, 1/3;` `0, 0, 1/5, 1/5, 1/5;` `0, 0, 0, 1/8, 1/8, 1/8;` `0, 0, 0, 1/13, 1/13, 1/13, 1/13;` `0, 0, 0, 0, 1/21, 1/21, 1/21, 1/21;` `0, 0, 0, 0, 1/34, 1/34, 1/34, 1/34, 1/34;`
	CROSSREFS	`Sequence in context: A327853 A080099 A268040 * A336937 A069584 A199238` `Adjacent sequences: A127708 A127709 A127710 * A127712 A127713 A127714`
	KEYWORD	`sign,tabl`
	AUTHOR	`Paul Barry, Jan 24 2007`
	STATUS	`approved`

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Last modified March 22 09:08 EDT 2023. Contains 361423 sequences. (Running on oeis4.)