A083320 a(n) = 5^n + 4^n - 3^n.

1, 6, 32, 162, 800, 3906, 18992, 92322, 449600, 2195586, 10755152, 52845282, 260386400, 1286217666, 6367168112, 31576971042, 156839811200, 779990182146, 3883029321872, 19347201973602, 96463456484000, 481224744361026

Offset

0,2

Comments

Binomial transform of A083319.

Links

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (12,-47,60).

Formula

a(n) = 5^n + 4^n - 3^n.

G.f.: (1-6x+7x^2)/((1-3x)(1-4x)(1-5x)).

E.g.f.: exp(5x) + exp(4x) - exp(3x).

Mathematica

Table[5^n+4^n-3^n, {n, 0, 30}] (* or *) LinearRecurrence[{12, -47, 60}, {1, 6, 32}, 30] (* Harvey P. Dale, Aug 19 2020 *)

Crossrefs

Sequence in context: A006668 A232494 A037530 * A097139 A034942 A046714

Adjacent sequences: A083317 A083318 A083319 * A083321 A083322 A083323

Keyword

easy,nonn

Author

Paul Barry, Apr 25 2003

Status

approved