id:A082150 - OEIS Search Results

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A transform of C(n,2).

+0
3

0, 0, 1, 9, 60, 360, 2040, 11088, 58240, 297216, 1480320, 7223040, 34636800, 163657728, 763549696, 3523645440, 16107110400, 73016672256, 328570011648, 1468890021888, 6528375193600, 28862235279360, 126993714118656 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Represents the mean of the first and third binomial transforms of C(n,2) Binomial transform of A082149.`
	FORMULA	`a(n)=C(n, 2)(2^(n-2)+4^(n-2))/2 G.f.: (x^2/(1-2x)^3+x^2/(1-4x)^3)/2 = x^2(36x^3-30x^2+9x-1)/((1-2x)^3(4x-1)^3) E.g.f. (x^2/2)exp(3x)cosh(x)`
	CROSSREFS	`Cf. A082151, A038845, A001788, A000217.` `Adjacent sequences: A082147 A082148 A082149 this_sequence A082151 A082152 A082153` `Sequence in context: A074431 A081904 A085373 this_sequence A026785 A009139 A086018`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 07 2003`

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.

AT&T Labs Research