A152437 (17^n - 1)/(2^(5 - (n % 2))).

0, 1, 9, 307, 2610, 88741, 754299, 25646167, 217992420, 7411742281, 62999809389, 2141993519227, 18206944913430, 619036127056621, 5261807079981279, 178901440719363487, 1520662246114589640, 51702516367896047761

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (0,290,0,-289).

Formula

From Colin Barker, Apr 30 2014: (Start)

a(n) = (-1)*((-3+(-1)^n)*(-1+17^n))/64.

a(n) = 290*a(n-2)-289*a(n-4).

G.f.: x*(17*x^2+9*x+1) / ((x-1)*(x+1)*(17*x-1)*(17*x+1)). (End)

Maple

A152437:=n->(17^n-1)/(2^(5-(n mod 2))); seq(A152437(n), n=0..20); # Wesley Ivan Hurt, Apr 30 2014

Mathematica

a[n_] :=(17^n - 1)/(2^(5 - Mod[n, 2])); Table[a[n], {n, 0, 30}]
LinearRecurrence[{0, 290, 0, -289}, {0, 1, 9, 307}, 30] (* Harvey P. Dale, May 21 2015 *)

Prog

(PARI) concat(0, Vec((17*x^3+9*x^2+x)/(289*x^4-290*x^2+1) + O(x^100))) \\ Colin Barker, Apr 30 2014

Crossrefs

Sequence in context: A197067 A348902 A279449 * A296802 A231133 A163702

Adjacent sequences: A152434 A152435 A152436 * A152438 A152439 A152440

Keyword

nonn,easy

Author

Roger L. Bagula, Dec 04 2008

Status

approved