id:A053138 - OEIS Search Results

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Binomial coefficients C(2n+9,9).

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1, 55, 715, 5005, 24310, 92378, 293930, 817190, 2042975, 4686825, 10015005, 20160075, 38567100, 70607460, 124403620, 211915132, 350343565, 563921995, 886163135, 1362649145, 2054455634, 3042312350, 4431613550, 6358402050 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Even indexed members of tenth column of Pascal's triangle A007318.` `Number of standard tableaux of shape (2n+1,1^9). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004`
	LINKS	`Milan Janjic, Two Enumerative Functions`
	FORMULA	`a(n)= binomial(2n+9, 9)= A000582(2n+9). G.f.(1+45x+210x^2+210x^3+45x^4+x^5)/(1-x)^10 = (1+x)(x^4+44x^3+166x^2+44x+1)/(1-x)^10.`
	CROSSREFS	`Cf. A053137, A000582, A053131.` `Sequence in context: A119228 A119226 A132155 this_sequence A027784 A008402 A134291` `Adjacent sequences: A053135 A053136 A053137 this_sequence A053139 A053140 A053141`
	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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