%I A005799 M1979
%S A005799 1,1,2,10,104,1816,47312,1714000,82285184,5052370816,386051862272,
%T A005799 35917232669440,3996998043812864,524203898507631616,
%U A005799 80011968856686405632,14061403972845412526080,2818858067801804443910144
%N A005799 Generalized Euler numbers of type 2^n.
%C A005799 This is the BinomialMean transform of A000364 (see A075271 for definition 
               of transform). - John W. Layman (layman(AT)math.vt.edu), Dec 04 2002
%D A005799 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005799 Gessel, Ira M.; Symmetric functions and P-recursiveness. J. Combin. Theory 
               Ser. A 53 (1990), no. 2, 257-285.
%D A005799 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 A005799 a(n) = 1/2^n * sum_{i=0..n} binomial(n, i) * A000364(i).
%t A005799 a[n_] := Sum[Binomial[n, i]Abs[EulerE[2i]], {i, 0, n}]/2^n
%Y A005799 Sequence in context: A086927 A135058 A154256 this_sequence A000595 A087234 
               A049538
%Y A005799 Adjacent sequences: A005796 A005797 A005798 this_sequence A005800 A005801 
               A005802
%K A005799 nonn,easy
%O A005799 0,3
%A A005799 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A005799 Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 10 2002