A133337 a(3n) = 0, a(3n+1) = a(3n+2) = 5^n.

0, 1, 1, 0, 5, 5, 0, 25, 25, 0, 125, 125, 0, 625, 625, 0, 3125, 3125, 0, 15625, 15625, 0, 78125, 78125, 0, 390625, 390625, 0, 1953125, 1953125, 0, 9765625, 9765625, 0, 48828125, 48828125, 0, 244140625, 244140625, 0, 1220703125, 1220703125, 0

Offset

0,5

Links

Table of n, a(n) for n=0..42.

Index entries for linear recurrences with constant coefficients, signature (0,0,5).

Formula

G.f.: -x*(1+x) / ( -1+5*x^3 ). - R. J. Mathar, Nov 07 2015

Mathematica

LinearRecurrence[{0, 0, 5}, {0, 1, 1}, 50] (* Harvey P. Dale, Jun 24 2017 *)

Prog

(Magma) I:=[0, 1, 1]; [n le 3 select I[n] else 5*Self(n-3): n in [1..50]]; // Vincenzo Librandi, Sep 11 2015

Crossrefs

Cf. A000351.

Sequence in context: A119380 A121212 A182787 * A279932 A022697 A286838

Adjacent sequences: A133334 A133335 A133336 * A133338 A133339 A133340

Keyword

nonn,easy

Author

Paul Curtz, Oct 19 2007

Status

approved