OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Paul Leyland, Factors of Cullen and Woodall numbers.
Paul Leyland, Generalized Cullen and Woodall numbers.
Amelia Carolina Sparavigna, The groupoids of Mersenne, Fermat, Cullen, Woodall and other Numbers and their representations by means of integer sequences, Politecnico di Torino, Italy (2019), [math.NT].
Amelia Carolina Sparavigna, Some Groupoids and their Representations by Means of Integer Sequences, International Journal of Sciences (2019) Vol. 8, No. 10.
Index entries for linear recurrences with constant coefficients, signature (9,-24,16).
FORMULA
From Colin Barker, Oct 14 2012: (Start)
a(n) = 9*a(n-1) - 24*a(n-2) + 16*a(n-3).
G.f.: -(12*x^2 - 4*x + 1)/((x-1)*(4*x-1)^2). (End)
E.g.f.: exp(x)*(1 + 4*exp(3*x)*x). - Stefano Spezia, Jan 05 2020
MATHEMATICA
CoefficientList[Series[-(12 x^2 - 4 x + 1)/((x - 1) (4 x - 1)^2), {x, 0, 21}], x] (* Michael De Vlieger, Jan 04 2020 *)
Table[n*4^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{9, -24, 16}, {1, 5, 33}, 30] (* Harvey P. Dale, Sep 18 2024 *)
PROG
(Magma) [ n*4^n+1: n in [0..30]]; // Vincenzo Librandi, Sep 16 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 30 1999
STATUS
approved