A037753 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1,0.

2, 15, 91, 546, 3278, 19671, 118027, 708162, 4248974, 25493847, 152963083, 917778498, 5506670990, 33040025943, 198240155659, 1189440933954, 7136645603726, 42819873622359, 256919241734155, 1541515450404930

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Index entries for linear recurrences with constant coefficients, signature (7,-7,7,-6).

Formula

G.f.: ( x*(2+x) ) / ( (x-1)*(6*x-1)*(x^2+1) ). - R. J. Mathar, Oct 15 2015

Mathematica

Module[{nn=20, ps}, ps=PadRight[{}, nn, {2, 3, 1, 0}]; Table[ FromDigits[ Take[ ps, n], 6], {n, nn}]] (* or *) LinearRecurrence[{7, -7, 7, -6}, {2, 15, 91, 546}, 20] (* Harvey P. Dale, May 30 2016 *)

Crossrefs

Sequence in context: A037746 A037627 A192369 * A037641 A361303 A288952

Adjacent sequences: A037750 A037751 A037752 * A037754 A037755 A037756

Keyword

nonn,base

Author

Clark Kimberling

Status

approved