A147975 a(n) = 4^n-3^n-2^n-1.

-2, -2, 2, 28, 158, 748, 3302, 14068, 58718, 241948, 988502, 4015108, 16241678, 65506348, 263636102, 1059360148, 4251855038, 17050597948, 68331794102, 273715121188, 1096023794798, 4387584060748, 17560800790502, 70274592610228

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Index entries for linear recurrences with constant coefficients, signature (10,-35,50,-24).

Formula

G.f.: 2*x*(19*x^3-24*x^2+9*x-1)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)). - Colin Barker, Oct 29 2012

Mathematica

lst={}; Do[p=4^n-3^n-2^n-1^n; AppendTo[lst, p], {n, 0, 5!}]; lst
LinearRecurrence[{10, -35, 50, -24}, {-2, -2, 2, 28}, 40] (* Harvey P. Dale, Nov 08 2016 *)

Prog

(PARI) a(n)=4^n-3^n-2^n-1 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A147976, A147977, A147978, A147979.

Sequence in context: A098915 A095855 A157979 * A083148 A368204 A318166

Adjacent sequences: A147972 A147973 A147974 * A147976 A147977 A147978

Keyword

sign,easy,changed

Author

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

Status

approved