id:A062534 - OEIS Search Results

Search: id:A062534

Displaying 1-1 of 1 results found.

page 1

Table by antidiagonals of coefficient of x^k in expansion of 1/((1+x)^2*(1-x)^n).

+0
2

1, -2, 1, 3, -1, 1, -4, 2, 0, 1, 5, -2, 2, 1, 1, -6, 3, 0, 3, 2, 1, 7, -3, 3, 3, 5, 3, 1, -8, 4, 0, 6, 8, 8, 4, 1, 9, -4, 4, 6, 14, 16, 12, 5, 1, -10, 5, 0, 10, 20, 30, 28, 17, 6, 1, 11, -5, 5, 10, 30, 50, 58, 45, 23, 7, 1, -12, 6, 0, 15, 40, 80, 108, 103, 68, 30, 8, 1, 13, -6, 6, 15, 55, 120, 188, 211, 171, 98, 38, 9, 1, -14, 7, 0, 21, 70, 175 (list; table; graph; listen)

	OFFSET	`0,2`
	FORMULA	`Each row is partial sum of preceding row, i.e. T(n, k)=T(n-1, k)+T(n, k-1) with T(0, k)=(k+1)*(-1)^k and T(n, 0)=1.`
	CROSSREFS	`Rows are effectively (with minor adjustments): A038608, A001057, A027656, A008805, A006918, A002624, A028346. Cf. A058394 which (adjusting for signs and an overlap of three rows) is effectively the continuation of this table for negative n.` `Sequence in context: A126705 A113924 A084296 this_sequence A088425 A010766 A135841` `Adjacent sequences: A062531 A062532 A062533 this_sequence A062535 A062536 A062537`
	KEYWORD	`sign,tabl`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jun 25 2001`

page 1

Search completed in 0.002 seconds

Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research