A275163 a(n) = 13*2^(n+1) - 19.

7, 33, 85, 189, 397, 813, 1645, 3309, 6637, 13293, 26605, 53229, 106477, 212973, 425965, 851949, 1703917, 3407853, 6815725, 13631469, 27262957, 54525933, 109051885, 218103789, 436207597, 872415213, 1744830445, 3489660909, 6979321837, 13958643693

Offset

0,1

Comments

Most terms in even positions of A278066 are terms in this sequence.

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

a(0) = 7; a(n) = 2*a(n-1) + 19 for n>=1.

G.f.: (12*x+7)/((1-2*x)*(1-x)).

Mathematica

NestList[2#+19&, 7, 30] (* Harvey P. Dale, Aug 08 2021 *)
(* Alternative: *)
LinearRecurrence[{3, -2}, {7, 33}, 30] (* Harvey P. Dale, Aug 08 2021 *)

Prog

(PARI) a(n)=13*2^(n+1)-19 \\ Charles R Greathouse IV, May 28 2026

Crossrefs

Cf. A278066.

Sequence in context: A175189 A153286 A060745 * A051895 A168574 A212106

Adjacent sequences: A275160 A275161 A275162 * A275164 A275165 A275166

Keyword

nonn,easy

Author

Nathan Fox, Nov 13 2016

Status

approved