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

Offset

1,2

Links

Table of n, a(n) for n=1..21.

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

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