id:A045505 - OEIS Search Results

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Convolution of A000108 (Catalan numbers) with A040075.

+0
4

1, 21, 262, 2525, 20754, 152946, 1040556, 6659037, 40599130, 237978598, 1350216660, 7453221490, 40188242420, 212349718980, 1102352779992, 5634083759325, 28400234400810, 141402315307550, 696257439473860 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Also convolution of A045492 with A000984 (central binomial coefficients); also convolution of A042985 with A000302 (powers of 4).`
	FORMULA	`a(n) = binomial(n+5, 4)(4^(n+1) - A000984(n+5)/A000984(4))/2, A000984(n)=binomial(2n, n); G.f. c(x)/(1-4*x)^5, where c(x) = g.f. for Catalan numbers.`
	CROSSREFS	`Sequence in context: A022649 A125433 A135122 this_sequence A092794 A133717 A056282` `Adjacent sequences: A045502 A045503 A045504 this_sequence A045506 A045507 A045508`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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