A155662 a(n) = 11^n - 7^n + 1.

1, 5, 73, 989, 12241, 144245, 1653913, 18663629, 208594081, 2317594085, 25654949353, 283334343869, 3124587089521, 34425823133525, 379071610510393, 4172500607905709, 45916496933002561, 505214397985306565, 5558288899894321033, 61147691553229173149

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (19,-95,77).

Formula

G.f.: 1/(1-11*x) - 1/(1-7*x) + 1/(1-x).

E.g.f.: e^(11*x) - e^(7*x) + e^x.

a(n) = 18*a(n-1) - 77*a(n-2) + 60; a(0)=1, a(1)=5. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[11^n-7^n+1, {n, 0, 30}] (* Harvey P. Dale, Jan 16 2023 *)

Prog

(PARI) a(n)=11^n-7^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661.

Sequence in context: A059017 A099667 A108444 * A182328 A222352 A159509

Adjacent sequences: A155659 A155660 A155661 * A155663 A155664 A155665

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 31 2009

Status

approved