Search: id:A001907 Results 1-1 of 1 results found. %I A001907 M3112 N1261 %S A001907 1,3,25,299,4785,95699,2296777,64309755,2057912161,74084837795, %T A001907 2963393511801,130389314519243,6258687096923665,325451729040030579, %U A001907 18225296826241712425,1093517809574502745499,69985139812768175711937 %N A001907 Expansion of e^(-x)/(1-4x). %D A001907 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A001907 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A001907 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 83. %D A001907 Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1. %F A001907 Sum[k=0..n, (-1)^(n+k)*C(n, k)*k!*4^k]. - R. Stephan, May 22 2004 %o A001907 (PARI) a(n)=sum(k=0,n,(-1)^(n+k)*binomial(n,k)*k!*4^k) %Y A001907 Cf. A000166, A000354, A000180, A001908. %Y A001907 Sequence in context: A126746 A118989 A123989 this_sequence A143635 A023997 A154961 %Y A001907 Adjacent sequences: A001904 A001905 A001906 this_sequence A001908 A001909 A001910 %K A001907 easy,nonn %O A001907 0,2 %A A001907 N. J. A. Sloane (njas(AT)research.att.com). %E A001907 More terms from R. Stephan, May 22 2004 %E A001907 Typo fixed by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Oct 28 2009 Search completed in 0.001 seconds