A001315 - OEIS

%I M1158 N0441 #19 Feb 03 2022 02:31:33

%S 2,4,8,20,100,2116,1114244,68723671300,1180735735906024030724,

%T 170141183460507917357914971986913657860

%N a(n) = Sum_{k=0..n} 2^binomial(n,k).

%D H. W. Gould, Exponential Binomial Coefficient Series. Tech. Rep. 4, Math. Dept., West Virginia Univ., Morgantown, WV, Sep. 1961.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H T. D. Noe, <a href="/A001315/b001315.txt">Table of n, a(n) for n = 0..13</a>

%t Table[Sum[2^Binomial[n, k], {k, 0, n}], {n, 0, 13}] (* _T. D. Noe_, Jun 28 2012 *)

%K nonn

%O 0,1

%A _N. J. A. Sloane_