id:A051643 - OEIS Search Results

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Central elements in Parker's partition triangle.

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1, 3, 20, 169, 1667, 18084, 208960, 2527074, 31630390, 406680465, 5342750699, 71442850111, 969548468960, 13323571588607, 185072895183632, 2594890728951909, 36681505784903758, 522291180086851188 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`R. K. Guy, Parker's permutation problem involves the Catalan numbers, Amer. Math. Monthly 100 (1993), 287-289.`
	FORMULA	`a(n) = coefficient of q^((n^2-1)/2) in q-binomial coefficient [2n, n]`
	CROSSREFS	`A047812, A007042.` `Sequence in context: A012882 A063017 A145329 this_sequence A154644 A000891 A129840` `Adjacent sequences: A051640 A051641 A051642 this_sequence A051644 A051645 A051646`
	KEYWORD	`easy,nonn,nice`
	AUTHOR	`James A. Sellers (sellersj(AT)math.psu.edu)`

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

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