A098462 a(n) = n^n + (n+1)^n.

2, 3, 13, 91, 881, 10901, 164305, 2920695, 59823937, 1387420489, 35937424601, 1028320041299, 32214185570737, 1096589879846397, 40304932850948641, 1590815394987706351, 67107935949376420097, 3013151821625033296145, 143473758373207779108265

Offset: 0

Author

Hugo Pfoertner, Sep 08 2004

Keywords

• nonn

Crossrefs

Cf. A000169, A000312, A045531 (n^n-(n-1)^n), A055869 ((n+1)^n-n^n).

Programs

PARI

a(n) = n^n + (n+1)^n; \\ Jinyuan Wang, Mar 19 2020

Formula

From Alois P. Heinz, Mar 19 2020: (Start)

a(n) = A000312(n) + A000169(n+1).

E.g.f.: (x-LambertW(-x))/((1+LambertW(-x))*x). (End)

Extensions

a(0)=2 prepended by Alois P. Heinz, Mar 19 2020