A262185 a(n) = n^prime(n!) - prime(n!)^n.

-1, -1, -1, 1592126, 383123885216472214589586756787577295904684780483158303

Offset

0,4

Comments

Inspired by A007965.

Links

Table of n, a(n) for n=0..4.

Formula

a(n) = n^A062439(n) - A062439(n)^n.

Example

For n = 1, a(n) = n^prime(n!) - prime(n!)^n = 1^2 - 2^1 = -1.

Mathematica

Table[n^Prime[n!] - Prime[n!]^n, {n, 0, 4}] (* Michael De Vlieger, Sep 14 2015 *)

Prog

(PARI) a(n) = n^prime(n!) - prime(n!)^n;
vector (6, n, a(n-1))
(Magma) [n^NthPrime(Factorial(n)) - NthPrime(Factorial(n))^n: n in [0..6]]; // Vincenzo Librandi, Sep 15 2015

Crossrefs

Cf. A000040, A062439, A007965.

Sequence in context: A252881 A183669 A234830 * A104827 A198171 A220467

Adjacent sequences: A262182 A262183 A262184 * A262186 A262187 A262188

Keyword

sign,easy

Author

Altug Alkan, Sep 14 2015

Status

approved