id:A061896 - OEIS Search Results

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Triangle of coefficients of Lucas polynomials.

+0
4

2, 1, 0, 1, 2, 0, 1, 3, 0, 0, 1, 4, 2, 0, 0, 1, 5, 5, 0, 0, 0, 1, 6, 9, 2, 0, 0, 0, 1, 7, 14, 7, 0, 0, 0, 0, 1, 8, 20, 16, 2, 0, 0, 0, 0, 1, 9, 27, 30, 9, 0, 0, 0, 0, 0, 1, 10, 35, 50, 25, 2, 0, 0, 0, 0, 0, 1, 11, 44, 77, 55, 11, 0, 0, 0, 0, 0, 0, 1, 12, 54, 112, 105, 36, 2, 0, 0, 0, 0, 0, 0, 1, 13 (list; table; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(n, k) =C(n-k, k)*n/(n-k) =C(n-k, k)+C(n-k-1, k-1); a(n, k)=a(n-1, k)+a(n-2, k-1) with a(n, 0)=1 if n>0 and a(0, 0)=2.`
	CROSSREFS	`Alternative version of A034807. With alternating signs, these are the coefficients of the recurrences in A061897.` `Sequence in context: A039999 A069842 A083056 this_sequence A069850 A108964 A036581` `Adjacent sequences: A061893 A061894 A061895 this_sequence A061897 A061898 A061899`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), May 14 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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