A037524 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0.

2, 15, 105, 737, 5160, 36120, 252842, 1769895, 12389265, 86724857, 607074000, 4249518000, 29746626002, 208226382015, 1457584674105, 10203092718737, 71421649031160, 499951543218120, 3499660802526842

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Formula

G.f.: x*(x+2) / ((x-1)*(7*x-1)*(x^2+x+1)). [Colin Barker, Jan 12 2013]

Mathematica

CoefficientList[Series[(x + 2)/((x - 1) (7 x - 1) (x^2 + x + 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 21 2013 *)
Table[FromDigits[PadRight[{}, n, {2, 1, 0}], 7], {n, 20}] (* or *) LinearRecurrence[{7, 0, 1, -7}, {2, 15, 105, 737}, 20] (* Harvey P. Dale, Feb 28 2023 *)

Crossrefs

Sequence in context: A215643 A332048 A295268 * A037733 A308938 A037556

Adjacent sequences: A037521 A037522 A037523 * A037525 A037526 A037527

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved