A037593 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3.

1, 7, 52, 365, 2555, 17888, 125217, 876519, 6135636, 42949453, 300646171, 2104523200, 14731662401, 103121636807, 721851457652, 5052960203565, 35370721424955, 247595049974688, 1733165349822817

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Index entries for linear recurrences with constant coefficients, signature (7,0,1,-7).

Formula

G.f.: x*(1+3*x^2) / ( (x-1)*(7*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

a(n) = 7*a(n-1) + a(n-3) - 7*a(n-4). - Wesley Ivan Hurt, Sep 04 2022

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 0, 3}], 7], {n, 20}] (* Harvey P. Dale, Dec 24 2018 *)

Crossrefs

Sequence in context: A027542 A254946 A258845 * A037684 A246513 A015559

Adjacent sequences: A037590 A037591 A037592 * A037594 A037595 A037596

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved