A004769 Numbers whose binary expansion ends in 011.

11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 115, 123, 131, 139, 147, 155, 163, 171, 179, 187, 195, 203, 211, 219, 227, 235, 243, 251, 259, 267, 275, 283, 291, 299, 307, 315, 323, 331, 339, 347, 355, 363, 371, 379, 387, 395, 403, 411, 419, 427, 435, 443, 451, 459, 467, 475, 483, 491

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 8*n + 11. - Vincenzo Librandi, Jul 12 2011

From G. C. Greubel, Oct 13 2018: (Start)

a(n) = 2*a(n-1) - a(n-2).

G.f.: (11 - 3*x)/(1-x)^2.

E.g.f.: (8*x + 11)*exp(x). (End)

Mathematica

Table[8*n+11, {n, 0, 60}] (* G. C. Greubel, Oct 13 2018 *)
LinearRecurrence[{2, -1}, {11, 19}, 80] (* Harvey P. Dale, Aug 09 2023 *)

Prog

(Magma) [8*n+11: n in [0..60]]; // Vincenzo Librandi, Jul 12 2011
(PARI) a(n)=8*n+11 \\ Charles R Greathouse IV, Jul 11 2016

Crossrefs

Essentially same as A017101.

Sequence in context: A129916 A032694 A368374 * A224380 A125771 A158290

Adjacent sequences: A004766 A004767 A004768 * A004770 A004771 A004772

Keyword

nonn,easy,base

Author

N. J. A. Sloane

Status

approved