A198695 11*4^n-1

10, 43, 175, 703, 2815, 11263, 45055, 180223, 720895, 2883583, 11534335, 46137343, 184549375, 738197503, 2952790015, 11811160063, 47244640255, 188978561023, 755914244095, 3023656976383, 12094627905535, 48378511622143

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-4).

Formula

a(n) = 4*a(n-1)+3. a(n) = 5*a(n-1)-4*a(n-2), n>1.

G.f. ( 10-7*x ) / ( (4*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

Mathematica

11*4^Range[0, 30]-1 (* or *) NestList[4#+3&, 10, 30] (* or *) LinearRecurrence[ {5, -4}, {10, 43}, 30] (* Harvey P. Dale, Aug 07 2021 *)

Prog

(Magma) [11*4^n-1: n in [0..30]]

Crossrefs

Cf. A024056, A097743, A114569, A156760.

Sequence in context: A251936 A187673 A297655 * A227728 A346820 A003866

Adjacent sequences: A198692 A198693 A198694 * A198696 A198697 A198698

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 29 2011

Status

approved