A037525 Base-8 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0.

2, 17, 136, 1090, 8721, 69768, 558146, 4465169, 35721352, 285770818, 2286166545, 18289332360, 146314658882, 1170517271057, 9364138168456, 74913105347650, 599304842781201, 4794438742249608

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (8,0,1,-8).

Formula

G.f.: (2+x) / ((x-1)*(8*x-1)*(1+x+x^2)). - R. J. Mathar, Nov 21 2011

Mathematica

With[{c=Flatten[Table[{2, 1, 0}, {7}]]}, Table[FromDigits[Take[c, n], 8], {n, 20}]] (* Harvey P. Dale, Aug 03 2011 *)
LinearRecurrence[{8, 0, 1, -8}, {2, 17, 136, 1090}, 200] (* Vincenzo Librandi, Nov 23 2011 *)

Prog

(Magma) I:=[2, 17, 136, 1090]; [n le 4 select I[n] else 8*Self(n-1)+Self(n-3)-8*Self(n-4): n in [1..20]]; // Vincenzo Librandi, Nov 23 2011

Crossrefs

Sequence in context: A180840 A261120 A077243 * A037734 A201782 A132433

Adjacent sequences: A037522 A037523 A037524 * A037526 A037527 A037528

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved