A137787 a(n) = 5^n - 4^n - 3^n - 2^n.

-2, -4, -4, 26, 272, 1826, 10736, 59426, 318272, 1670786, 8656976, 44454626, 226827872, 1151991746, 5830280816, 29429454626, 148249811072, 745630312706, 3745590106256, 18797445635426, 94264432179872, 472428649241666, 2366562219717296, 11850466059333026

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-71,154,-120).

Formula

G.f.: 2*(53*x^3-45*x^2+12*x-1) / ((2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)). - Colin Barker, Oct 27 2014

Mathematica

Array[5^#-4^#-3^#-2^#&, 30, 0]
LinearRecurrence[{14, -71, 154, -120}, {-2, -4, -4, 26}, 30] (* Harvey P. Dale, Mar 25 2024 *)

Prog

(PARI) Vec(2*(53*x^3-45*x^2+12*x-1)/((2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)) + O(x^100)) \\ Colin Barker, Oct 27 2014

Crossrefs

Sequence in context: A068554 A371373 A092524 * A225171 A320600 A360685

Adjacent sequences: A137784 A137785 A137786 * A137788 A137789 A137790

Keyword

sign,easy

Author

Vladimir Joseph Stephan Orlovsky, Apr 28 2008

Extensions

More terms, corrected offset and Mathematica program, Harvey P. Dale, Apr 27 2013

Status

approved