A037483 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2.

1, 8, 49, 296, 1777, 10664, 63985, 383912, 2303473, 13820840, 82925041, 497550248, 2985301489, 17911808936, 107470853617, 644825121704, 3868950730225, 23213704381352, 139282226288113, 835693357728680, 5014160146372081

Offset

1,2

Links

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

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

Formula

a(n) = 6a(n-1) + a(n-2) - 6a(n-3).

G.f.: x*(1+2*x) / ( (x-1)*(6*x-1)*(1+x) ). - R. J. Mathar, Apr 26 2015

Maple

a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=5*a[n-1]+6*a[n-2]+3 od: seq(a[n], n=1..33); # Zerinvary Lajos, Dec 14 2008

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 2}], 6], {n, 30}] (* or *) LinearRecurrence[ {6, 1, -6}, {1, 8, 49}, 30] (* Harvey P. Dale, Oct 12 2020 *)

Crossrefs

Sequence in context: A261668 A097204 A037539 * A188708 A317752 A273497

Adjacent sequences: A037480 A037481 A037482 * A037484 A037485 A037486

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved