A037585 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.

3, 19, 117, 703, 4221, 25327, 151965, 911791, 5470749, 32824495, 196946973, 1181681839, 7090091037, 42540546223, 255243277341, 1531459664047, 9188757984285, 55132547905711, 330795287434269, 1984771724605615, 11908630347633693, 71451782085802159, 428710692514812957, 2572264155088877743

Offset

1,1

Links

Zhuorui He, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (6,1,-6).

Formula

G.f.: x*(3+x) / ( (x-1)*(6*x-1)*(1+x) ). - R. J. Mathar, Apr 26 2015

a(n) = floor(19*6^n/35). - Christian Krause, Jun 07 2026

Mathematica

Table[FromDigits[PadRight[{}, n, {3, 1}], 6], {n, 20}] (* Harvey P. Dale, Jul 06 2025 *)
(* Alternative: *)
LinearRecurrence[{6, 1, -6}, {3, 19, 117}, 20] (* Harvey P. Dale, Jul 06 2025 *)

Crossrefs

Sequence in context: A309183 A261777 A037781 * A084133 A005667 A098444

Adjacent sequences: A037582 A037583 A037584 * A037586 A037587 A037588

Keyword

nonn,base,easy,changed

Author

Clark Kimberling

Status

approved