A033141 Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0.

1, 5, 25, 126, 630, 3150, 15751, 78755, 393775, 1968876, 9844380, 49221900, 246109501, 1230547505, 6152737525, 30763687626, 153818438130, 769092190650, 3845460953251, 19227304766255, 96136523831275, 480682619156376

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (5,0,1,-5).

Formula

a(n) = +5*a(n-1) +a(n-3) -5*a(n-4). G.f.: x / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Jan 08 2011

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 0, 0}], 5], {n, 30}] (* or *) LinearRecurrence[ {5, 0, 1, -5}, {1, 5, 25, 126}, 30] (* Harvey P. Dale, May 09 2018 *)

Crossrefs

Sequence in context: A030988 A173260 A080516 * A099524 A081916 A307879

Adjacent sequences: A033138 A033139 A033140 * A033142 A033143 A033144

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved