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

Author

Nathan Fox, Nov 13 2016

Keywords

• nonn

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).

Crossrefs

Cf. A278066.

Programs

Mathematica

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

Formula

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

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