A037692 Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0,3.

1, 10, 80, 643, 5145, 41162, 329296, 2634371, 21074969, 168599754, 1348798032, 10790384259, 86323074073, 690584592586, 5524676740688, 44197413925507, 353579311404057, 2828634491232458, 22629075929859664, 181032607438877315

Offset

1,2

Links

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

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

Formula

G.f.: ( x*(1+2*x+3*x^3) ) / ( (x-1)*(8*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 11 2015

Mathematica

CoefficientList[Series[(1 + 2*x + 3*x^3)/((x - 1)*(8*x - 1)*(1 + x)*(x^2 + 1)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Feb 02 2017 *)
LinearRecurrence[{8, 0, 0, 1, -8}, {1, 10, 80, 643, 5145}, 20] (* Vincenzo Librandi, Feb 03 2017 *)

Prog

(Magma) I:=[1, 10, 80, 643, 5145]; [n le 5 select I[n] else 8*Self(n-1)+Self(n-4)-8*Self(n-5): n in [1..20]]; // Vincenzo Librandi, Feb 03 2017

Crossrefs

Sequence in context: A341917 A369474 A037509 * A126531 A200162 A165511

Adjacent sequences: A037689 A037690 A037691 * A037693 A037694 A037695

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved