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A061896
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Triangle of coefficients of Lucas polynomials.
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3
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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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.
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CROSSREFS
| Alternative version of A034807. With alternating signs, these are the coefficients of the recurrences in A061897.
Sequence in context: A039999 A069842 A083056 * A069850 A141581 A179286
Adjacent sequences: A061893 A061894 A061895 * A061897 A061898 A061899
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), May 14 2001
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