A064746 a(n) = n*8^n + 1.

1, 9, 129, 1537, 16385, 163841, 1572865, 14680065, 134217729, 1207959553, 10737418241, 94489280513, 824633720833, 7146825580545, 61572651155457, 527765581332481, 4503599627370497, 38280596832649217, 324259173170675713, 2738188573441261569, 23058430092136939521

Offset

0,2

Links

Harry J. Smith, Table of n, a(n) for n = 0..150

Paul Leyland, Factors of Cullen and Woodall numbers.

Paul Leyland, Generalized Cullen and Woodall numbers.

Index entries for linear recurrences with constant coefficients, signature (17,-80,64).

Formula

a(n) = 17*a(n-1) - 80*a(n-2) + 64*a(n-3), a(0)=1, a(1)=9, a(2)=129. - Harvey P. Dale, Jul 24 2012

G.f.: -(56*x^2-8*x+1)/((x-1)*(8*x-1)^2). - Colin Barker, Oct 15 2012

From Elmo R. Oliveira, May 04 2025: (Start)

E.g.f.: exp(x)*(1 + 8*x*exp(7*x)).

a(n) = A036294(n) + 1. (End)

Mathematica

Table[n*8^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{17, -80, 64}, {1, 9, 129}, 20] (* Harvey P. Dale, Jul 24 2012 *)

Prog

(PARI) a(n) = { n*8^n + 1 } \\ Harry J. Smith, Sep 24 2009

Crossrefs

Cf. A002064, A036294.

Sequence in context: A046754 A203425 A275259 * A232950 A184143 A287690

Adjacent sequences: A064743 A064744 A064745 * A064747 A064748 A064749

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 19 2001

Status

approved