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A235499 For k in {2,3,...,9} define a sequence as follows: a(0)=0; for n>=0, a(n+1)=a(n)+1, unless a(n) ends in k, in which case a(n+1) is obtained by replacing the last digit of a(n) with the digit(s) of k^2. This is k(3). 9
0, 1, 2, 3, 9, 10, 11, 12, 13, 19, 20, 21, 22, 23, 29, 30, 31, 32, 33, 39, 40, 41, 42, 43, 49, 50, 51, 52, 53, 59, 60, 61, 62, 63, 69, 70, 71, 72, 73, 79, 80, 81, 82, 83, 89, 90, 91, 92, 93, 99, 100, 101, 102, 103, 109, 110, 111, 112, 113, 119, 120, 121, 122, 123, 129 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

G.f.: (x^5+6*x^4+x^3+x^2+x)/(x^6-x^5-x+1). - Alois P. Heinz, Feb 07 2014

MATHEMATICA

CoefficientList[Series[(x^5 + 6 x^4 + x^3 + x^2 + x)/(x^6 - x^5 - x + 1), {x, 0, 50}], x] (* Vincenzo Librandi, Feb 08 2014 *)

nxt[n_]:=If[Mod[n, 10]==3, FromDigits[Join[Most[IntegerDigits[n]], {9}]], n+ 1]; NestList[nxt, 0, 70] (* or *) LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 1, 2, 3, 9, 10}, 70] (* Harvey P. Dale, Oct 02 2016 *)

CROSSREFS

Cf. A235498, A237341 - A237346.

Sequence in context: A196443 A007316 A163905 * A242590 A135204 A037463

Adjacent sequences:  A235496 A235497 A235498 * A235500 A235501 A235502

KEYWORD

nonn,base,easy

AUTHOR

Vincenzo Librandi, Feb 06 2014

EXTENSIONS

Definition by N. J. A. Sloane, Feb 07 2014

STATUS

approved

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Last modified February 15 21:12 EST 2019. Contains 320138 sequences. (Running on oeis4.)