Search: id:A001243
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%I A001243 M5422 N2355
%S A001243 1,247,14608,455192,9738114,162512286,2275172004,27971176092,
%T A001243 311387598411,3207483178157,31055652948388,285997074307300,
%U A001243 2527925001876036,21598596303099900,179385804170146680
%N A001243 Eulerian numbers (Column 7 of Euler's triangle A008292).
%D A001243 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001243 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001243 L. Carlitz et al., Permutations and sequences with repetions by number 
               of increases, J. Combin. Theory, 1 (1966), 350-374.
%D A001243 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 243.
%D A001243 F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, 
               p. 151.
%D A001243 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 260.
%D A001243 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               215.
%F A001243 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
%o A001243 (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))
%Y A001243 Sequence in context: A051153 A166399 A129133 this_sequence A048901 A065146 
               A064977
%Y A001243 Adjacent sequences: A001240 A001241 A001242 this_sequence A001244 A001245 
               A001246
%K A001243 nonn,easy
%O A001243 7,2
%A A001243 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. 
               Wilson v (rgwv(AT)rgwv.com)
%E A001243 More terms from Christian G. Bower (bowerc(AT)usa.net), May 12 2000

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