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A353079

Exponential transform of odd primes.

1, 3, 14, 79, 521, 3876, 31935, 287225, 2791122, 29066589, 322292257, 3784650052, 46857941291, 609360372095, 8296220760974, 117914344818807, 1745211622467633, 26838798853062516, 428009369349905497, 7065576909286562195, 120545067517808693300, 2122393931891338237325, 38512344746420591905771

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

FORMULA

E.g.f.: exp( Sum_{k>=1} prime(k+1) * x^k / k! ).

a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * prime(k+1) * a(n-k).

MAPLE

a:= proc(n) option remember; `if`(n=0, 1, add(a(n-j)*

ithprime(j+1)*binomial(n-1, j-1), j=1..n))

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