id:A045622 - OEIS Search Results

Search: id:A045622

Displaying 1-1 of 1 results found.

page 1

Convolution of A000108 (Catalan numbers) with A045543.

+0
2

1, 25, 362, 3973, 36646, 299530, 2238676, 15613741, 103054094, 650194974, 3950996556, 23257207714, 133217073276, 745218012084, 4083224828328, 21966983072637, 116268166691358, 606474982072982, 3122157367765788 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Also convolution of A045530 with A000984 (central binomial coefficients); also convolution of A045505 with A000302 (powers of 4).`
	FORMULA	`a(n)= binomial(n+6, 5)(4^(n+1)-A000984(n+6)/A000984(5))/2, A000984(n)=binomial(2n, n); G.f. c(x)/(1-4*x)^6, where c(x) = g.f. for Catalan numbers.`
	CROSSREFS	`Sequence in context: A022653 A125460 A077512 this_sequence A130052 A059255 A022749` `Adjacent sequences: A045619 A045620 A045621 this_sequence A045623 A045624 A045625`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

page 1

Search completed in 0.002 seconds

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research