A258387 a(n) = (n+1)^n + n^(n-1).

3, 11, 73, 689, 8401, 125425, 2214801, 45143873, 1043046721, 26937424601, 768945795289, 24041093493169, 817012858376625, 29986640798644769, 1182114430632237601, 49814113380273715457, 2234572751614363400449, 106313261857649938064809

Offset: 1

Author

Daniel Suteu, May 28 2015

Keywords

• nonn
• easy

Examples

			For n=3 the a(3) = 73.
(3+1)^3 + 3^(3-1) = 4^3 + 3^2.
4^3 + 3^2 = 64 + 9 = 73.
		

Links

• Daniel Suteu, Table of n, a(n) for n = 1..20

Crossrefs

Cf. A178922, A258384.

Programs

Magma

[(n+1)^n + n^(n-1): n in [1..20]]; // Vincenzo Librandi, May 29 2015

Mathematica

Array[(# + 1)^# + #^(# - 1) &, 20] (* Vincenzo Librandi, May 29 2015 *)

PARI

vector(10,n,(n+1)^n+n^(n-1)) \\ Derek Orr, Jun 01 2015

Sidef

func a(n) {
    (n+1)**n + n**(n-1)
};
1.to(Math.inf).each { |n|
    say a(n);
};

Formula

a(n) = (n+1)^n + n^(n-1).