A086093 a(n) = 3^n + 2*n*4^(n-1).

1, 5, 25, 123, 593, 2803, 13017, 59531, 268705, 1199331, 5301929, 23245819, 101194737, 437801939, 1883831161, 8067412587, 34402785089, 146158028227, 618862711113, 2612502377435, 10998603062161, 46189948719795, 193545427548185, 809334701221963, 3377982150064353

Offset

0,2

Comments

Binomial transform of A084859. Second binomial transform of Cullen numbers A002064.

Links

Table of n, a(n) for n=0..24.

Index entries for linear recurrences with constant coefficients, signature (11,-40,48).

Formula

G.f.: (1-6*x+10*x^2)/((1-3*x)*(1-4*x)^2).

a(n) = 11*a(n-1) - 40*a(n-2) + 48*a(n-3). - Wesley Ivan Hurt, Oct 30 2022

Mathematica

CoefficientList[Series[(1 - 6*x + 10*x^2)/((1 - 3*x)*(1 - 4*x)^2), {x, 0, 30}], x] (* Wesley Ivan Hurt, Oct 30 2022 *)

Crossrefs

Cf. A002064, A084859.

Sequence in context: A249454 A250347 A278282 * A171279 A231636 A099504

Adjacent sequences: A086090 A086091 A086092 * A086094 A086095 A086096

Keyword

easy,nonn

Author

Paul Barry, Jul 10 2003

Extensions

More terms from Wesley Ivan Hurt, Oct 30 2022

Status

approved