A037586 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.

3, 22, 157, 1100, 7703, 53922, 377457, 2642200, 18495403, 129467822, 906274757, 6343923300, 44407463103, 310852241722, 2175965692057, 15231759844400, 106622318910803, 746356232375622, 5224493626629357

Offset

1,1

Links

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

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

Formula

G.f.: x*(3+x) / ( (x-1)*(7*x-1)*(1+x) ). - R. J. Mathar, Apr 26 2015

a(n) = 7*a(n-1) + a(n-2) - 7*a(n-3). - Wesley Ivan Hurt, Jul 11 2023

Mathematica

CoefficientList[Series[(3 + x)/((x - 1)*(7*x - 1)*(1 + x)), {x, 0, 30}], x] (* Wesley Ivan Hurt, Jul 11 2023 *)

Crossrefs

Sequence in context: A091167 A037782 A041661 * A183259 A218668 A164021

Adjacent sequences: A037583 A037584 A037585 * A037587 A037588 A037589

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved