A127755 - OEIS

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A127755

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

1, 0, 1, 0, -1, 2, 0, 1, -2, 6, 0, 0, 0, -6, 24, 0, -1, 2, 0, -24, 120, 0, 0, 0, 0, 0, -120, 720, 0, 1, -2, 6, 0, 0, -720, 5040, 0, 0, 0, 0, 0, 0, 0, -5040, 40320, 0, 0, 0, -6, 24, 0, 0, 0, -40320, 362880, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; internal format)

	OFFSET	`0,6`
	COMMENTS	`It is conjectured that this is an integer triangle. Row sums are A127756.`
	EXAMPLE	`Triangle begins` `1,` `0, 1,` `0, -1, 2,` `0, 1, -2, 6,` `0, 0, 0, -6, 24,` `0, -1, 2, 0, -24, 120,` `0, 0, 0, 0, 0, -120, 720,` `0, 1, -2, 6, 0, 0, -720, 5040,` `0, 0, 0, 0, 0, 0, 0, -5040, 40320,` `0, 0, 0, -6, 24, 0, 0, 0, -40320, 362880,` `0, 0, 0, 0, 0, 0, 0, 0, 0, -362880, 3628800,` `0, -1, 2, 0, -24, 120, 0, 0, 0, 0, -3628800, 39916800,` `0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39916800, 479001600` `Inverse of triangle` `1,` `0, 1,` `0, 1/2, 1/2,` `0, 0, 1/6, 1/6,` `0, 0, 1/24, 1/24, 1/24,` `0, 0, 0, 1/120, 1/120, 1/120,` `0, 0, 0, 1/720, 1/720, 1/720, 1/720,` `0, 0, 0, 0, 1/5040, 1/5040, 1/5040, 1/5040,` `0, 0, 0, 0, 1/40320, 1/40320, 1/40320, 1/40320, 1/40320,` `0, 0, 0, 0, 0, 1/362880, 1/362880, 1/362880, 1/362880, 1/362880,` `0, 0, 0, 0, 0, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800`
	CROSSREFS	`Sequence in context: A055509 A006667 A112570 * A180662 A014511 A085855` `Adjacent sequences: A127752 A127753 A127754 * A127756 A127757 A127758`
	KEYWORD	`sign,tabl`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 28 2007`

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.