A138128 Powers of 127.

1, 127, 16129, 2048383, 260144641, 33038369407, 4195872914689, 532875860165503, 67675234241018881, 8594754748609397887, 1091533853073393531649, 138624799340320978519423, 17605349516220764271966721, 2235879388560037062539773567, 283956682347124706942551243009

Offset: 0

Author

Omar E. Pol, Mar 09 2008

Keywords

• nonn
• easy

Comments

127 is the 4th Mersenne prime A000668.

Links

• Paolo Xausa, Table of n, a(n) for n = 0..450
• Index entries for linear recurrences with constant coefficients, signature (127).

Crossrefs

Cf. A000668, A009975.

Programs

Mathematica

127^Range[0, 15] (* Paolo Xausa, Jun 26 2025 *)

PARI

my(x='x+O('x^15)); Vec(1/(1-127*x)) \\ Elmo R. Oliveira, Jun 23 2025

Formula

a(n) = 127^n.

From Elmo R. Oliveira, Jun 23 2025: (Start)

G.f.: 1/(1-127*x).

E.g.f.: exp(127*x).

a(n) = 127*a(n-1). (End)

Extensions

More terms from Elmo R. Oliveira, Jun 23 2025