A037714 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2,0.

1, 12, 110, 990, 8911, 80202, 721820, 6496380, 58467421, 526206792, 4735861130, 42622750170, 383604751531, 3452442763782, 31071984874040, 279647863866360, 2516830774797241, 22651476973175172, 203863292758576550, 1834769634827188950

Offset

1,2

Links

Table of n, a(n) for n=1..20.

Index entries for linear recurrences with constant coefficients, signature (10,-10,10,-9).

Formula

G.f.: ( x*(1+2*x) ) / ( (x-1)*(9*x-1)*(x^2+1) ). - R. J. Mathar, Oct 14 2015

a(n) = 10*a(n-1) - 10*a(n-2) + 10*a(n-3) - 9*a(n-4). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

nn=20; With[{d=PadRight[{}, nn, {1, 3, 2, 0}]}, Table[FromDigits[Take[d, n], 9], {n, nn}]] (* Harvey P. Dale, Sep 20 2013 *)

Crossrefs

Sequence in context: A081183 A069294 A000559 * A037616 A048532 A049102

Adjacent sequences: A037711 A037712 A037713 * A037715 A037716 A037717

Keyword

nonn,base

Author

Clark Kimberling

Status

approved