A164094 a(n) = 3*2^n + 2.

5, 8, 14, 26, 50, 98, 194, 386, 770, 1538, 3074, 6146, 12290, 24578, 49154, 98306, 196610, 393218, 786434, 1572866, 3145730, 6291458, 12582914, 25165826, 50331650, 100663298, 201326594, 402653186, 805306370, 1610612738, 3221225474

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = A007283(n) + 2 = 3*a(n-1) - 2*a(n-2).

G.f.: (5-7*x)/((2*x-1)*(x-1)).

Mathematica

#+2&/@(3 2^Range[0, 30])  (* Harvey P. Dale, Jan 23 2011 *)

Prog

(PARI) a(n)= 3<<n+2 \\ Charles R Greathouse IV, Jan 11 2012

Crossrefs

Cf. A007283.

Sequence in context: A101835 A192522 A133641 * A246319 A302649 A286835

Adjacent sequences: A164091 A164092 A164093 * A164095 A164096 A164097

Keyword

nonn,easy

Author

Vincenzo Librandi, Aug 10 2009

Extensions

Offset corrected by R. J. Mathar, Aug 21 2009

Status

approved