A092810 Binomial transform of a Jacobsthal trisection.

1, 6, 54, 486, 4374, 39366, 354294, 3188646, 28697814, 258280326, 2324522934, 20920706406, 188286357654, 1694577218886, 15251194969974, 137260754729766, 1235346792567894, 11118121133111046, 100063090197999414, 900567811781994726, 8105110306037952534

Offset

0,2

Comments

Binomial transform of A082311.

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (9).

Formula

G.f.: (1-3*x)/(1-9*x).

E.g.f.: 2*exp(9*x)/3 + 1/3.

a(n) = 2*9^n/3 + 0^n/3.

a(n) = A054878(2n+1) - A054878(2n-1) + 0^n/3 = A015518(2n+1) - A015518(2n-1) + 0^n/3.

a(n) = 2*3^(2*n-1), for n>0. - Gionata Neri, Jun 18 2015

Mathematica

Table[EulerPhi[9^n], {n, 0, 40}] (* Vladimir Joseph Stephan Orlovsky, Nov 10 2009 *)

Prog

(PARI) Vec((1-3*x)/(1-9*x) + O(x^30)) \\ Michel Marcus, Jun 18 2015
(Magma) [1] cat [2*3^(2*n-1): n in [1..20]]; // Vincenzo Librandi, Jun 20 2015

Crossrefs

Cf. A001045.

Sequence in context: A202364 A177484 A353207 * A092472 A228413 A098658

Adjacent sequences: A092807 A092808 A092809 * A092811 A092812 A092813

Keyword

easy,nonn

Author

Paul Barry, Mar 10 2004

Status

approved