A237346 - OEIS

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A237346

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(9).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 81, 82, 83, 84, 85, 86, 87, 88, 89, 881, 882, 883, 884, 885, 886, 887, 888, 889, 8881, 8882, 8883, 8884, 8885, 8886, 8887, 8888, 8889, 88881, 88882, 88883, 88884, 88885, 88886, 88887, 88888, 88889, 888881, 888882, 888883, 888884

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, -10).

FORMULA

G.f.: -(10*x^18 -10*x^16 -20*x^15 -30*x^14 -40*x^13 -50*x^12 -60*x^11 -70*x^10 -9*x^9 -8*x^8 -7*x^7 -6*x^6 -5*x^5 -4*x^4 -3*x^3 -2*x^2 -x) / (10*x^18 -11*x^9 +1). - Alois P. Heinz, Feb 07 2014

CROSSREFS

Cf. A235498, A235499, A237341 - A237346.

Sequence in context: A024663 A272360 A288946 * A193757 A246605 A038178

Adjacent sequences: A237343 A237344 A237345 * A237347 A237348 A237349

KEYWORD

nonn,base,easy

AUTHOR

Vincenzo Librandi, Feb 06 2014

EXTENSIONS

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

STATUS

approved