A061511 a(0) = 0; a(n) is obtained by incrementing each digit of a(n-1) by 1.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 21, 32, 43, 54, 65, 76, 87, 98, 109, 2110, 3221, 4332, 5443, 6554, 7665, 8776, 9887, 10998, 2110109, 32212110, 43323221, 54434332, 65545443, 76656554, 87767665, 98878776, 109989887, 211010910998

Offset

0,3

Comments

In A061511-A061522, A061746-A061750 when the incremented digit exceeds 9 it is written as a 2-digit string. So 9+1 becomes the 2-digit string 10, etc.

a(n+10) is the concatenation of a(n) and a(n-1).

Considering each term as a sequence of digits, each of the subsequences a(9n), a(9n-1), ... and a(9n-8) converges to a different limit. - M. F. Hasler, Jun 24 2016

Links

Indranil Ghosh, Table of n, a(n) for n = 0..97

Example

Following 43: 4+1 = 5 and 3+1 = 4, hence the next term is 54.

Mathematica

NestList[FromDigits[Flatten[IntegerDigits[IntegerDigits[#]+1]]]&, 0, 38] (* Jayanta Basu, May 18 2013 *)

Prog

(PARI) A061511(n=2, a=n>0, m=1)={for(n=2, n, a=eval(concat(apply(t->Str(t+m), digits(a))))); a} \\ If only the 2nd argument is given, then the operation is applied once to that argument. - M. F. Hasler, Jun 24 2016

Crossrefs

Cf. A061512 - A061522, A061746 - A061750; A061581 - A061587.

Sequence in context: A068860 A158699 A247107 * A138142 A085890 A274842

Adjacent sequences: A061508 A061509 A061510 * A061512 A061513 A061514

Keyword

base,nonn

Author

Amarnath Murthy, May 08 2001

Status

approved