A259076 Powers of 80.

1, 80, 6400, 512000, 40960000, 3276800000, 262144000000, 20971520000000, 1677721600000000, 134217728000000000, 10737418240000000000, 858993459200000000000, 68719476736000000000000, 5497558138880000000000000, 439804651110400000000000000, 35184372088832000000000000000

Offset: 0

Author

Anders Wallberg, Jun 18 2015

Keywords

• nonn
• easy

Comments

Let T_n denote the n X n matrix with T_n(i,j) = 9^abs(i-j); then a(n) = abs(det(T_(n+1))). - Lechoslaw Ratajczak, Jun 17 2021

Links

• Index entries for linear recurrences with constant coefficients, signature (80).

Crossrefs

Cf. A001018, A011557.

Programs

PARI

a(n)=80^n \\ Charles R Greathouse IV, Jun 19 2015

PARI

powers(80,8) \\ Charles R Greathouse IV, Jun 19 2015

Formula

a(n) = A001018(n) * A011557(n).

From Elmo R. Oliveira, Aug 14 2024: (Start)

G.f.: 1/(1-80*x).

E.g.f.: exp(80*x).

a(n) = 80*a(n-1), n > 0. (End)

Extensions

a(13)-a(15) from Elmo R. Oliveira, Aug 14 2024