id:A073398 - OEIS Search Results

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

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1, 20, 240, 2200, 16940, 115104, 711040, 4072640, 21930480, 112157760, 549010176, 2587777920, 11802273600, 52287866880, 225756241920, 952486588416, 3935984616960, 15961485957120, 63628396339200 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`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) := A073397(k).` `a(n)=(2^n)sum(binomial(n-k+9, 9)binomial(n-k, k)(1/2)^k, k=0..floor(n/2)).` `G.f.: 1/(1-2x(1+x))^10.`
	CROSSREFS	`Tenth (m=9) column of triangle A073387.` `Sequence in context: A163004 A061139 A061121 this_sequence A040075 A138442 A140124` `Adjacent sequences: A073395 A073396 A073397 this_sequence A073399 A073400 A073401`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 2, 2002`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

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