A073397 - OEIS

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A073397

Eighth convolution of A002605(n) (generalized (2,2)-Fibonacci), n>=0, with itself.

1, 18, 198, 1680, 12060, 76824, 446952, 2420352, 12363120, 60151520, 280833696, 1265442048, 5528697408, 23507763840, 97575960960, 396398370816, 1579498956288, 6184543546368, 23833455191040 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`For a(n) in terms of U(n+1) and U(n) with U(n) := A002605(n) see A073387 and the row polynomials of triangles A073405 and A073406.`
	FORMULA	`a(n)=sum(b(k)c(n-k), k=0..n) with b(k) := A002605(k) and c(k) := A073394(k).` `a(n)=(2^n)sum(binomial(n-k+8, 8)binomial(n-k, k)(1/2)^k, k=0..floor(n/2)).` `G.f.: 1/(1-2x(1+x))^9.`
	CROSSREFS	`Ninth (m=8) column of triangle A073387.` `Sequence in context: A042940 A034727 A060532 * A020920 A083812 A086573` `Adjacent sequences: A073394 A073395 A073396 * A073398 A073399 A073400`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 2, 2002`

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.