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A073134
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Table by antidiagonals of T(n,k)=n*T(n,k-1)-T(n,k-2) starting with T(n,1)=1.
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3
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1, 1, 1, 0, 2, 1, -1, 3, 3, 1, -1, 4, 8, 4, 1, 0, 5, 21, 15, 5, 1, 1, 6, 55, 56, 24, 6, 1, 1, 7, 144, 209, 115, 35, 7, 1, 0, 8, 377, 780, 551, 204, 48, 8, 1, -1, 9, 987, 2911, 2640, 1189, 329, 63, 9, 1, -1, 10, 2584, 10864, 12649, 6930, 2255, 496, 80, 10, 1, 0, 11, 6765, 40545, 60605, 40391, 15456, 3905, 711, 99, 11, 1, 1, 12
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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LINKS
| Shmuel T. Klein, Combinatorial Representation of Generalized Fibonacci Numbers, Fib. Quarterly 29 (2) (1991) 124-131, variable U_n^m. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2010]
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FORMULA
| T(n, k) =A073133(n, k)-2*A073135(n, k-2) =sum_j{0<=j<k) A049310(k-1, j)*n^j
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EXAMPLE
| Rows start 1, 1, 0, -1, -1, 0, 1, ...; 1, 2, 3, 4, 5, 6, 7, ...; 1, 3, 8, 21, 55, 144, 377, ...; 1, 4, 15, 56, 209, 780, 2911, ...; etc.
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CROSSREFS
| Rows include A010892, A000027, A001906, A001353, A004254, A001109, A004187, A001090, A018913, A004189, A004190. Columns include (with some gaps) A000012, A000027, A005563, A057722.
Cf. A094954.
Sequence in context: A196922 A135597 A169945 * A026692 A114202 A125806
Adjacent sequences: A073131 A073132 A073133 * A073135 A073136 A073137
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KEYWORD
| sign,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 16 2002
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