id:A080959 - OEIS Search Results

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Square array of coefficients of binomial polynomials, read by antidiagonals.

+0
3

1, 2, 1, 3, 1, 5, 4, 0, 11, 14, 5, -2, 20, 14, 94, 6, -5, 34, -10, 214, 444, 7, -9, 55, -74, 454, 444, 3828, 8, -14, 85, -200, 974, -636, 8868, 25584, 9, -20, 126, -416, 2024, -4236, 21468, 25584, 270576, 10, -27, 180, -756, 3968, -13056, 56748, -55056, 633456, 2342880, 11, -35, 249, -1260, 7308 (list; table; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Columns include A080956, A080957. Rows include A024167, A080959.`
	FORMULA	`T(n, k) = k!Sum{j=1..k, (-1)^(j+1) binomial(n+j, j)/j}`
	EXAMPLE	`Rows begin 1 1 5 14 94 ... 2 1 11 14 214 ... 3 0 20 -10 454 ... 4 -2 34 -74 974 ...`
	CROSSREFS	`Sequence in context: A147783 A102614 A078657 this_sequence A065548 A152063 A022458` `Adjacent sequences: A080956 A080957 A080958 this_sequence A080960 A080961 A080962`
	KEYWORD	`easy,sign,tabl`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 01 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research