A037625 Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0.

2, 11, 44, 178, 715, 2860, 11442, 45771, 183084, 732338, 2929355, 11717420, 46869682, 187478731, 749914924, 2999659698, 11998638795, 47994555180, 191978220722, 767912882891, 3071651531564, 12286606126258, 49146424505035

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Formula

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

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 3, 0}], 4], {n, 30}] (* or *) LinearRecurrence[{4, 0, 1, -4}, {2, 11, 44, 178}, 30] (* Harvey P. Dale, Jul 21 2024 *)

Crossrefs

Sequence in context: A289645 A181369 A037744 * A181270 A110679 A127109

Adjacent sequences: A037622 A037623 A037624 * A037626 A037627 A037628

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved