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

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

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

Programs

Mathematica

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