A037683 Base-6 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3,2.

1, 6, 39, 236, 1417, 8502, 51015, 306092, 1836553, 11019318, 66115911, 396695468, 2380172809, 14281036854, 85686221127, 514117326764, 3084703960585, 18508223763510, 111049342581063, 666296055486380, 3997776332918281, 23986657997509686, 143919947985058119, 863519687910348716

Offset

1,2

Links

Stefano Spezia, Table of n, a(n) for n = 1..1200

Index entries for linear recurrences with constant coefficients, signature (6,0,0,1,-6).

Formula

G.f.: x*(1 + 3*x^2 + 2*x^3)/((x - 1)*(6*x - 1)*(1 + x)*(x^2 + 1)). - R. J. Mathar, Oct 11 2015

E.g.f.: (245*cos(x) - 481*cosh(x) + 236*cosh(6*x) + 175*sin(x) - 296*sinh(x) + 236*sinh(6*x))/1295. - Stefano Spezia, Apr 23 2025

Mathematica

nn=30; With[{c=PadRight[{}, nn, {1, 0, 3, 2}]}, Table[FromDigits[Take[c, n], 6], {n, nn}]] (* Harvey P. Dale, Nov 01 2011 *)

Crossrefs

Sequence in context: A339205 A258342 A037592 * A145664 A305289 A090018

Adjacent sequences: A037680 A037681 A037682 * A037684 A037685 A037686

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved