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Search: id:A001243
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| A001243 |
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Eulerian numbers (Column 7 of Euler's triangle A008292).
(Formerly M5422 N2355)
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+0
2
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| 1, 247, 14608, 455192, 9738114, 162512286, 2275172004, 27971176092, 311387598411, 3207483178157, 31055652948388, 285997074307300, 2527925001876036, 21598596303099900, 179385804170146680
(list; graph; listen)
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OFFSET
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7,2
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REFERENCES
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L. Carlitz et al., Permutations and sequences with repetions by number of increases, J. Combin. Theory, 1 (1966), 350-374.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 243.
F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, p. 151.
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 260.
J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 215.
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FORMULA
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7^(n+7-1)+sum(i=1, 7-1, (-1)^i/i!*(7-i)^(n+7-1)*prod(j=1, i, n+7+1-j)) - Randall L. Rathbun (randallr(AT)abac.com), Jan 23 2002
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PROGRAM
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(PARI) A001243(n)=7^(n+7-1)+sum(i=1, 7-1, (-1)^i/i!*(7-i)^(n+7-1)*prod(j=1, i, n+7+1-j))
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CROSSREFS
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Adjacent sequences: A001240 A001241 A001242 this_sequence A001244 A001245 A001246
Sequence in context: A127349 A051153 A129133 this_sequence A048901 A065146 A064977
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KEYWORD
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nonn,easy
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AUTHOR
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njas, Mira Bernstein, Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net), May 12 2000
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