A291946 Powers of 11111.

1, 11111, 123454321, 1371700960631, 15240969373571041, 169342410709747836551, 1881563525396008211918161, 20906052330675047242622686871, 232287147446130449912780673823681, 2580942495273955428980906066854919591, 28676852064988918771406847308825011575601, 318628503294091876469101480448354703616502711

Offset: 0

Author

Seiichi Manyama, Mar 09 2018

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (11111).

Crossrefs

Powers of ((10^k - 1)/9): A000012 (k=1), A001020 (k=2), A225374 (k=3), A291945 (k=4), this sequence (k=5), A109716 (k=6).

Cf. A009985.

Programs

PARI

my(x='x+O('x^99)); Vec(1/(1-11111*x)) \\ Altug Alkan, Mar 10 2018

Formula

a(n) = 11111^n.

G.f.: 1/(1 - 11111*x).

From Elmo R. Oliveira, Aug 26 2024: (Start)

E.g.f.: exp(11111*x).

a(n) = 11111*a(n-1) for n > 0.

a(n) = 271^n * A009985(n). (End)