id:A053137 - OEIS Search Results

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Binomial coefficients C(2n+8,8).

+0
3

1, 45, 495, 3003, 12870, 43758, 125970, 319770, 735471, 1562275, 3108105, 5852925, 10518300, 18156204, 30260340, 48903492, 76904685, 118030185, 177232627, 260932815, 377348994, 536878650, 752538150, 1040465790 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Even indexed members of ninth column of Pascal's triangle A007318.` `Number of standard tableaux of shape (2n+1,1^8). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004`
	LINKS	`Milan Janjic, Two Enumerative Functions`
	FORMULA	`a(n)= binomial(2n+8, 8)= A000581(2n+8). G.f.(1+36x+126x^2+84x^3+9x^4)/(1-x)^9 = (1+3x)(3x^3+27x^2+33*x+1)/(1-x)^9.`
	CROSSREFS	`Cf. A053136, A000581, A053130.` `Sequence in context: A129153 A155015 A036495 this_sequence A086576 A147808 A093529` `Adjacent sequences: A053134 A053135 A053136 this_sequence A053138 A053139 A053140`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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

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