A225374 Powers of 111.

1, 111, 12321, 1367631, 151807041, 16850581551, 1870414552161, 207616015289871, 23045377697175681, 2558036924386500591, 283942098606901565601, 31517572945366073781711, 3498450596935634189769921, 388328016259855395064461231, 43104409804843948852155196641

Offset: 0

Author

N. J. A. Sloane, May 08 2013, following a suggestion from Daniel Forgues

Keywords

• nonn
• easy

Links

• T. D. Noe, Table of n, a(n) for n = 0..100
• Index entries for linear recurrences with constant coefficients, signature (111).

Crossrefs

Cf. A000244 (powers of 3), A009981 (powers of 37).

Programs

Maple

A225374:=n->111^n; seq(A225374(n), n=0..20); # Wesley Ivan Hurt, Nov 13 2013

Mathematica

Table[111^n, {n, 0, 20}] (* Wesley Ivan Hurt, Nov 13 2013 *)
NestList[111#&,1,20] (* Harvey P. Dale, Oct 12 2019 *)

Formula

a(n) = 3^n * A009981(n) = A000244(n) * A009981(n). - Zak Seidov, May 09 2013

G.f.: 1/(1 - 111*x). - R. J. Mathar, May 09 2013

From Elmo R. Oliveira, Jul 06 2025: (Start)

E.g.f.: exp(111*x).

a(n) = 111^n.

a(n) = 111*a(n-1). (End)