A082149 - OEIS

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A082149

A transform of C(n,2).

0, 0, 1, 6, 30, 140, 615, 2562, 10220, 39384, 147645, 541310, 1948650, 6908772, 24180611, 83702010, 286978200, 975725744, 3293074233, 11041484022, 36804946550, 122037454140, 402723598431, 1323234680306, 4330586226180 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`Represents the mean of C(n,2) with its second binomial transform. Binomial transform of A080929 (preceded by two zeros).`
	FORMULA	`a(n)=C(n, 2)(3^(n-2)+1)/2 G.f.: (x^2/(1-3x)^3+x^2/(1-x)^3)/2 = x^2(14x^3-15x^2+6x-1)/((1-x)^3(3x-1)^3) E.g.f. (x^2/2)exp(2x)cosh(x)`
	CROSSREFS	`Cf. A082150, A000217, A027472.` `Sequence in context: A001334 A125316 A092439 * A002457 A137400 A199938` `Adjacent sequences: A082146 A082147 A082148 * A082150 A082151 A082152`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 07 2003`

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Last modified February 15 11:25 EST 2012. Contains 205777 sequences.