A037716 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1,3.

2, 8, 33, 135, 542, 2168, 8673, 34695, 138782, 555128, 2220513, 8882055, 35528222, 142112888, 568451553, 2273806215, 9095224862, 36380899448, 145523597793, 582094391175, 2328377564702, 9313510258808, 37254041035233

Offset

1,1

Links

Table of n, a(n) for n=1..23.

Index entries for linear recurrences with constant coefficients, signature (5,-5,5,-4).

Formula

G.f.: ( x*(2-2*x+3*x^2) ) / ( (x-1)*(4*x-1)*(x^2+1) ). - R. J. Mathar, Oct 14 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 0, 1, 3}], 4], {n, 30}] (* or *) LinearRecurrence[ {5, -5, 5, -4}, {2, 8, 33, 135}, 30] (* Harvey P. Dale, Mar 02 2018 *)

Crossrefs

Sequence in context: A134708 A294530 A037513 * A279014 A099015 A150865

Adjacent sequences: A037713 A037714 A037715 * A037717 A037718 A037719

Keyword

nonn,base

Author

Clark Kimberling

Status

approved