A196676 Expansion of g.f. (1-8*x)/(1-25*x).

1, 17, 425, 10625, 265625, 6640625, 166015625, 4150390625, 103759765625, 2593994140625, 64849853515625, 1621246337890625, 40531158447265625, 1013278961181640625, 25331974029541015625, 633299350738525390625, 15832483768463134765625, 395812094211578369140625, 9895302355289459228515625

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (25).

Formula

a(0) = 1, a(n) = 17*25^(n-1) for n>0.

a(n) = Sum_{k=0..n} A193722(n,k)*8^k.

From Elmo R. Oliveira, Mar 25 2025: (Start)

E.g.f.: (17*exp(25*x) + 8)/25.

a(n) = 25*a(n-1) for n > 1. (End)

Mathematica

CoefficientList[Series[(1-8x)/(1-25x), {x, 0, 30}], x] (* Harvey P. Dale, Apr 29 2014 *)

Crossrefs

Cf. A002001, A193722, A196661, A196662, A196663, A196664, A196665, A196666.

Sequence in context: A384170 A374230 A134940 * A027404 A053114 A221443

Adjacent sequences: A196673 A196674 A196675 * A196677 A196678 A196679

Keyword

nonn,easy

Author

Philippe Deléham, Oct 05 2011

Extensions

More terms from Elmo R. Oliveira, Mar 25 2025

Status

approved