A064811 a(n) = Sum_{k=1..n} binomial(prime(n),k).

2, 6, 25, 98, 1023, 4095, 41225, 169765, 1698159, 36519555, 160645503, 3231947595, 30273024983, 138712176295, 1310535994367, 24708300742602, 445940506273291, 2153773851389587, 38488228121936551, 357912185755244035

Offset

1,1

Links

Harry J. Smith, Table of n, a(n) for n = 1..100

Mathematica

Table[Sum[Binomial[Prime[n], k], {k, n}], {n, 20}] (* Harvey P. Dale, Jul 20 2019 *)

Prog

(PARI) { for (n=1, 100, p=prime(n); a=sum(k=1, n, binomial(p, k)); write("b064811.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 26 2009
(PARI) a(n) = sum(k=1, n, binomial(prime(n), k)); \\ Michel Marcus, Jun 19 2018

Crossrefs

Sequence in context: A019048 A289604 A028302 * A074418 A330637 A003454

Adjacent sequences: A064808 A064809 A064810 * A064812 A064813 A064814

Keyword

nonn

Author

Santi Spadaro, Oct 22 2001

Status

approved