A064750 a(n) = n*12^n + 1.

1, 13, 289, 5185, 82945, 1244161, 17915905, 250822657, 3439853569, 46438023169, 619173642241, 8173092077569, 106993205379073, 1390911669927937, 17974858503684097, 231105323618795521, 2958148142320582657, 37716388814587428865, 479219999055934390273, 6070119988041835610113

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 (25,-168,144).

Formula

a(n) = 25*a(n-1) - 168*a(n-2) + 144*a(n-3), a(0)=1, a(1)=13, a(2)=289. - Harvey P. Dale, Apr 30 2015

G.f.: (1 - 12*x + 142*x^2 - 250*x^3 + 1680*x^4 - 1440*x^5)/((1 - 12*x)^2*(1 - x)). - Vincenzo Librandi, Jun 21 2018

Mathematica

Table[n*12^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{25, -168, 144}, {1, 13, 289}, 20] (* Harvey P. Dale, Apr 30 2015 *)
CoefficientList[Series[(1 - 12 x + 142 x^2 - 250 x^3 + 1680 x^4 - 1440 x^5) / ((1 - 12 x)^2 (1 - x)), {x, 0, 33}], x] (* Vincenzo Librandi, Jun 21 2018 *)

Prog

(PARI) { for (n=0, 150, write("b064750.txt", n, " ", n*12^n + 1) ) } \\ Harry J. Smith, Sep 24 2009
(Magma) [n*12^n + 1: n in [0..30]]; // Vincenzo Librandi, Jun 21 2018

Crossrefs

Cf. A064758.

Sequence in context: A092145 A278628 A035017 * A228753 A249864 A246462

Adjacent sequences: A064747 A064748 A064749 * A064751 A064752 A064753

Keyword

nonn

Author

N. J. A. Sloane, Oct 19 2001

Status

approved