A081679 a(n) = (6^n-5^n-4^n-3^n+4*2^n)/2.

1, 1, 1, 16, 199, 1756, 13231, 91876, 608959, 3922396, 24798511, 154802836, 957674719, 5885660236, 35993747791, 219289723396, 1332092132479, 8073205753276, 48838076777071, 295005107805556, 1779844007102239, 10727852491849516, 64609947250462351, 388869415622361316

Offset

0,4

Comments

Inverse binomial transform of A081680.

Links

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (20,-155,580,-1044,720).

Formula

G.f.: (1-19*x+136*x^2-429*x^3+498*x^4)/((1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)*(1-6*x)). - Bruno Berselli, Dec 15 2010

Mathematica

LinearRecurrence[{20, -155, 580, -1044, 720}, {1, 1, 1, 16, 199}, 40] (* Harvey P. Dale, Jan 20 2022 *)

Crossrefs

Cf. A081680.

Sequence in context: A016226 A332854 A154240 * A154249 A226869 A257289

Adjacent sequences: A081676 A081677 A081678 * A081680 A081681 A081682

Keyword

easy,nonn

Author

Paul Barry, Mar 30 2003

Status

approved