A235498 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(2).

0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74

Offset

0,3

Comments

An alternative and simpler definition: numbers not ending in 3. - Charles R Greathouse IV, Feb 07 2014

Links

Table of n, a(n) for n=0..66.

Formula

G.f.: (x^9 +x^8 +x^7 +x^6 +x^5 +x^4 +2*x^3 +x^2 +x) / (x^10 -x^9 -x +1). - Alois P. Heinz, Feb 07 2014

Crossrefs

Subsequence of A052405.

Cf. A235499, A237341 - A237346.

Sequence in context: A083794 A133016 A026503 * A052405 A039212 A039221

Adjacent sequences: A235495 A235496 A235497 * A235499 A235500 A235501

Keyword

nonn,base,easy

Author

Vincenzo Librandi, Feb 06 2014

Extensions

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

Status

approved