id:A124320 - OEIS Search Results

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Triangle read by rows: T(n,k)=k!*binom(n+k-1,k) (0<=k<=n).

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1, 1, 1, 1, 2, 6, 1, 3, 12, 60, 1, 4, 20, 120, 840, 1, 5, 30, 210, 1680, 15120, 1, 6, 42, 336, 3024, 30240, 332640, 1, 7, 56, 504, 5040, 55440, 665280, 8648640, 1, 8, 72, 720, 7920, 95040, 1235520, 17297280, 259459200, 1, 9, 90, 990, 11880, 154440, 2162160 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Row sums yield A123680. T(n,n)=(2n-1)!/(n-1)!=A000407(n-1).`
	MAPLE	`T:=proc(n, k) if k<=n then binomial(n+k-1, k)*k! else 0 fi end: for n from 0 to 9 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form`
	CROSSREFS	`Cf. A123680, A000407.` `Sequence in context: A121601 A122761 A100469 this_sequence A156146 A154584 A129677` `Adjacent sequences: A124317 A124318 A124319 this_sequence A124321 A124322 A124323`
	KEYWORD	`nonn`
	AUTHOR	`Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 26 2006`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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