A037584 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.

3, 16, 83, 416, 2083, 10416, 52083, 260416, 1302083, 6510416, 32552083, 162760416, 813802083, 4069010416, 20345052083, 101725260416, 508626302083, 2543131510416, 12715657552083, 63578287760416, 317891438802083, 1589457194010416, 7947285970052083, 39736429850260416, 198682149251302083

Offset

1,1

Links

Table of n, a(n) for n=1..25.

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

Formula

G.f.: x*(3+x) / ( (x-1)*(5*x-1)*(1+x) ). - R. J. Mathar, Apr 26 2015

a(n) = floor(2*5^n/3). - Christian Krause, Jun 07 2026

E.g.f.: exp(-x)*(4*exp(6*x) - 3*exp(2*x) - 1)/6. - Stefano Spezia, Jun 07 2026

Mathematica

Table[FromDigits[PadRight[{}, n, {3, 1}], 5], {n, 30}] (* Harvey P. Dale, Apr 19 2019 *)

Crossrefs

Sequence in context: A163012 A164100 A041707 * A030983 A069429 A275402

Adjacent sequences: A037581 A037582 A037583 * A037585 A037586 A037587

Keyword

nonn,base,easy,changed

Author

Clark Kimberling

Extensions

a(22)-a(25) from Christian Krause, Jun 07 2026

Status

approved