Search: id:A001244
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%I A001244 M5457 N2366
%S A001244 1,502,47840,2203488,66318474,1505621508,27971176092,447538817472,
%T A001244 6382798925475,83137223185370,1006709967915228,11485644635009424,
%U A001244 124748182104463860,1300365805079109480,13093713503185076040
%N A001244 Eulerian numbers. (Column 8 of Euler's triangle A008292.)
%D A001244 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001244 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001244 L. Carlitz et al., Permutations and sequences with repetions by number 
               of increases, J. Combin. Theory, 1 (1966), 350-374.
%D A001244 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 243.
%D A001244 F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, 
               p. 151.
%D A001244 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 2601.
%D A001244 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               215.
%F A001244 8^(n+8-1)+sum(i=1, 8-1, (-1)^i/i!*(8-i)^(n+8-1)*prod(j=1, i, n+8+1-j)) 
               - Randall L. Rathbun (randallr(AT)abac.com), Jan 23 2002
%o A001244 (PARI) A001244(n)=8^(n+8-1)+sum(i=1,8-1,(-1)^i/i!*(8-i)^(n+8-1)*prod(j=1,
               i,n+8+1-j))
%Y A001244 Sequence in context: A093250 A097425 A121577 this_sequence A160508 A067949 
               A133525
%Y A001244 Adjacent sequences: A001241 A001242 A001243 this_sequence A001245 A001246 
               A001247
%K A001244 nonn,easy
%O A001244 1,2
%A A001244 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. 
               Wilson v (rgwv(AT)rgwv.com)
%E A001244 More terms from Christian G. Bower (bowerc(AT)usa.net), May 12 2000

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