A025273 - OEIS

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A025273

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5.

1, 0, 1, 1, 2, 5, 12, 29, 72, 182, 466, 1207, 3158, 8334, 22158, 59299, 159614, 431838, 1173710, 3203244, 8774780, 24118522, 66497316, 183858411, 509670494, 1416231616, 3944027402, 11006186760, 30772507128, 86191006746, 241815195292, 679488418879 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,5`
	COMMENTS	`The binomial transform of A025250(n+1) is A025273(n+2). - Paul Barry, May 11 2005`
	LINKS	`Table of n, a(n) for n=1..32.`
	FORMULA	`G.f.: (1-sqrt(1-4x+4x^2-4x^3+4x^4))/(2x); - Paul Barry, May 11 2005` `Conjecture: (n+1)a(n) +2(-2n+1)a(n-1) +4(n-2)a(n-2) +2(-2n+7)a(n-3) +4(n-5)*a(n-4)=0. - R. J. Mathar, Nov 24 2012`
	CROSSREFS	`Sequence in context: A122745 A166292 A010374 * A217333 A089372 A036671` `Adjacent sequences: A025270 A025271 A025272 * A025274 A025275 A025276`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling`
	STATUS	`approved`

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Last modified May 20 01:43 EDT 2013. Contains 225445 sequences.