A037646 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1.

3, 12, 49, 199, 796, 3185, 12743, 50972, 203889, 815559, 3262236, 13048945, 52195783, 208783132, 835132529, 3340530119, 13362120476, 53448481905, 213793927623, 855175710492, 3420702841969, 13682811367879, 54731245471516

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..500

Index entries for linear recurrences with constant coefficients, signature (4,0,1,-4).

Formula

G.f.: x*(3+x^2) / ( (x-1)*(4*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 29 2015

Mathematica

With[{c=PadRight[{}, 60, {3, 0, 1}]}, Table[FromDigits[Take[c, n], 4], {n, 30}]] (* Harvey P. Dale, Feb 27 2012 *)

Crossrefs

Sequence in context: A344136 A248347 A037758 * A012772 A012864 A045890

Adjacent sequences: A037643 A037644 A037645 * A037647 A037648 A037649

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved