A109882 Palindromes with either no internal digits or all internal digits are 0.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 202, 303, 404, 505, 606, 707, 808, 909, 1001, 2002, 3003, 4004, 5005, 6006, 7007, 8008, 9009, 10001, 20002, 30003, 40004, 50005, 60006, 70007, 80008, 90009, 100001, 200002, 300003, 400004

Offset

1,3

Comments

How is this sequence obtained from the given formula? What values for k are used? In particular, how are the terms a(1)-a(10) obtained using this formula? Using an inner loop for m and an outer loop for k, starting at m=1 and k=1, one obtains the infinite subsequence starting 11, 22, 33, 44, .... - Felix Fröhlich, Jul 26 2014

Answer, maybe: The formula is only supposed to produce the terms with more than one digit? - N. J. A. Sloane, Jul 27 2014

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

The single-digit numbers, and then m*10^k + a where m is 1 to 9. [Revised by N. J. A. Sloane, Jul 27 2014]

Mathematica

Join[Range[0, 9], 10#+First[IntegerDigits[#]]&/@Flatten[Table[FromDigits[PadRight[{d}, n, 0]], {n, 5}, {d, 9}]]] (* Harvey P. Dale, Oct 05 2023 *)

Crossrefs

Sequence in context: A193413 A087992 A062687 * A109872 A030285 A283870

Adjacent sequences: A109879 A109880 A109881 * A109883 A109884 A109885

Keyword

base,nonn

Author

Amarnath Murthy, Jul 10 2005

Extensions

Corrected definition, fixed offset, extended. - David Wasserman, Oct 15 2008

0 added and name changed by Arkadiusz Wesolowski, Sep 07 2011

Status

approved