A037616 - OEIS

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A037616

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

0

1, 12, 110, 991, 8922, 80300, 722701, 6504312, 58538810, 526849291, 4741643622, 42674792600, 384073133401, 3456658200612, 31109923805510, 279989314249591, 2519903828246322, 22679134454216900, 204112210087952101, 1837009890791568912, 16533089017124120210

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

Index entries for 3-automatic sequences.

Index entries for linear recurrences with constant coefficients, signature (9,0,1,-9).

FORMULA

From R. J. Mathar, Apr 27 2015: (Start)

G.f.: x*(1+x)*(2*x+1) / ( (x-1)*(9*x-1)*(1+x+x^2) ).

A007095(a(n)) = A037617(n). (End)

a(n) = 9*a(n-1) + a(n-3) - 9*a(n-4). - Wesley Ivan Hurt, Aug 04 2025

MATHEMATICA

Module[{nn=30, t}, t=PadRight[{}, nn, {1, 3, 2}]; Table[FromDigits[ Take[ t, n], 9], {n, nn}]] (* Harvey P. Dale, May 06 2014 *)

CROSSREFS

Sequence in context: A069294 A000559 A037714 * A048532 A049102 A075231

Adjacent sequences: A037613 A037614 A037615 * A037617 A037618 A037619

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved