A228840 a(n) = 3^n*A228569(n).

2, 15, 171, 2160, 27783, 358425, 4626234, 59716035, 770832207, 9950150160, 128439782811, 1657942687845, 21401266181778, 276254540154855, 3565983915414819, 46030886147041200, 594181726489417887, 7669891971371155905, 99005472955353055626

Offset: 0

Author

R. J. Mathar, Nov 10 2013

Keywords

• easy
• nonn

Comments

Bhadouria et al. call this the 3-binomial transform of the 3-Lucas sequence.

Links

• P. Bhadouria, D. Jhala, B. Singh, Binomial Transforms of the k-Lucas Sequences and its Properties, The Journal of Mathematics and Computer Science (JMCS), Volume 8, Issue 1, Pages 81-92; sequence T_3.
• Index entries for linear recurrences with constant coefficients, signature (15,-27).

Programs

Mathematica

LinearRecurrence[{15,-27},{2,15},30] (* Harvey P. Dale, May 20 2018 *)

Formula

G.f.: ( 2-15*x ) / ( 1-15*x+27*x^2 ).

Binomial transform of the binomial transform of A057076.