A291945 Powers of 1111.

1, 1111, 1234321, 1371330631, 1523548331041, 1692662195786551, 1880547699518858161, 2089288494165451416871, 2321199517017816524143681, 2578852663406794158323629591, 2865105309044948309897552475601, 3183131998348937572296180800392711, 3536459650165669642821056869236301921, 3929006671334058973174194181721531434231

Offset: 0

Author

Seiichi Manyama, Mar 09 2018

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (1111).

Crossrefs

Powers of ((10^k - 1)/9): A000012 (k=1), A001020 (k=2), A225374 (k=3), this sequence (k=4), A291946 (k=5), A109716 (k=6).

Cf. A096884.

Programs

Mathematica

1111^Range[0,20] (* Harvey P. Dale, Jul 27 2022 *)

PARI

a(n) = 1111^n; \\ Michel Marcus, Mar 11 2018

Formula

a(n) = 1111^n.

G.f.: 1/(1 - 1111*x).

From Elmo R. Oliveira, Aug 16 2024: (Start)

E.g.f.: exp(1111*x).

a(n) = 1111*a(n-1) for n > 0.

a(n) = A001020(n)*A096884(n). (End)