A001315 a(n) = Sum_{k=0..n} 2^binomial(n,k). (Formerly M1158 N0441)

2, 4, 8, 20, 100, 2116, 1114244, 68723671300, 1180735735906024030724, 170141183460507917357914971986913657860

Offset

0,1

References

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

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

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

Links

T. D. Noe, Table of n, a(n) for n = 0..13

Mathematica

Table[Sum[2^Binomial[n, k], {k, 0, n}], {n, 0, 13}] (* T. D. Noe, Jun 28 2012 *)

Crossrefs

Sequence in context: A112278 A309868 A059731 * A340595 A216643 A002040

Adjacent sequences: A001312 A001313 A001314 * A001316 A001317 A001318

Keyword

nonn

Author

N. J. A. Sloane

Status

approved