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A237343 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(6). 0
0, 1, 2, 3, 4, 5, 6, 36, 336, 3336, 33336, 333336, 3333336, 33333336, 333333336, 3333333336, 33333333336, 333333333336, 3333333333336, 33333333333336, 333333333333336, 3333333333333336, 33333333333333336, 333333333333333336, 3333333333333333336 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

FORMULA

G.f.: (20*x^7-9*x^6-9*x^5-9*x^4-9*x^3-9*x^2+x)/(10*x^2-11*x+1). - Alois P. Heinz, Feb 07 2014

a(n) = ( 8 + 10^(n-5) )/3 for n>5. [Bruno Berselli, Feb 08 2014]

MATHEMATICA

Join[Range[0, 5], Table[(8 + 10^(n - 5))/3, {n, 6, 30}]] (* Bruno Berselli, Feb 08 2014 *)

CROSSREFS

Cf. A235498, A235499, A237341 - A237346.

Sequence in context: A004846 A178579 A347308 * A300856 A173575 A024641

Adjacent sequences:  A237340 A237341 A237342 * A237344 A237345 A237346

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 October 16 06:14 EDT 2021. Contains 348040 sequences. (Running on oeis4.)