A098137 a(n) = n^n + n^prime(n).

2, 12, 270, 16640, 48831250, 13060740672, 232630514810750, 144115188092633088, 8862938119652888516418, 100000000000000000010000000000, 191943424957750480504432152962422, 8505622499821102144576131693030930382848, 4695452425098908797088971409337724910182721066

Offset: 1

Author

Parthasarathy Nambi, Sep 27 2004

Keywords

• nonn

Examples

			a(1) = 1^1 + 1^2 = 2.
a(2) = 2^2 + 2^3 = 12.
a(3) = 3^3 + 3^5 = 270.
		

Crossrefs

Cf. A000312, A062481, A089622.

Programs

Magma

[n^n + n^(NthPrime(n)): n in [1..20]]; // Vincenzo Librandi, Aug 27 2015

Mathematica

Table[n^Prime[n] + n^n, {n, 1, 15}] (* Stefan Steinerberger, Feb 28 2006 *)

PARI

first(m)=vector(m,i,i^i + i^prime(i)) \\ Anders Hellström, Aug 26 2015

Formula

a(n) = A000312(n) + A062481(n). - Michel Marcus, Aug 27 2015

Extensions

More terms from Stefan Steinerberger, Feb 28 2006

a(12)-a(13) from Vincenzo Librandi, Aug 27 2015