A083326 a(n) = 6^n - 5^n + 4^n.

1, 5, 27, 155, 927, 5675, 35127, 218195, 1354527, 8386715, 51749127, 318163235, 1949418927, 11907099755, 72529083927, 440741148275, 2672816984127, 16180899860795, 97813978879527, 590561131589315, 3561890520050127

Offset

0,2

Comments

An alternating sum of decreasing powers.

Binomial transform of A083325.

Links

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

Index entries for linear recurrences with constant coefficients, signature (15,-74,120).

Formula

G.f.: (1-10*x+26*x^2)/((1-4*x)*(1-5*x)*(1-6*x)).

E.g.f.: exp(6x) - exp(5x) + exp(4x).

Maple

A083326:=n->6^n-5^n+4^n: seq(A083326(n), n=0..30); # Wesley Ivan Hurt, Jan 24 2017

Mathematica

Table[6^n-5^n+4^n, {n, 0, 20}] (* Harvey P. Dale, Feb 19 2013 *)

Crossrefs

Sequence in context: A332598 A305573 A184702 * A083880 A363185 A098409

Adjacent sequences: A083323 A083324 A083325 * A083327 A083328 A083329

Keyword

easy,nonn

Author

Paul Barry, Apr 27 2003

Status

approved