A152599 a(n) = 10*a(n-1) - 12*a(n-2) for n > 1; a(0) = 1, a(1) = 4 .

1, 4, 28, 232, 1984, 17056, 146752, 1262848, 10867456, 93520384, 804794368, 6925699072, 59599458304, 512886194176, 4413668442112, 37982050091008, 326856479604736, 2812780194955264, 24205524194295808, 208301879603494912, 1792552505703399424, 15425902501792055296

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-12).

Formula

G.f.: (1-6*x)/(1-10*x+12*x^2).

a(n) = Sum_{k=0..n} A147703(n,k)*3^(n-k).

a(n) = 2^n*A052961(n). - R. J. Mathar, Jun 14 2016

Mathematica

LinearRecurrence[{10, -12}, {1, 4}, 25] (* Paolo Xausa, Jan 19 2024 *)

Crossrefs

Cf. A052961, A006012, A147703, A152596.

Sequence in context: A370187 A191094 A220876 * A199579 A089023 A035610

Adjacent sequences: A152596 A152597 A152598 * A152600 A152601 A152602

Keyword

nonn,easy

Author

Philippe Deléham, Dec 09 2008

Status

approved