A138131 Palindromic cyclops numbers.

0, 101, 202, 303, 404, 505, 606, 707, 808, 909, 11011, 12021, 13031, 14041, 15051, 16061, 17071, 18081, 19091, 21012, 22022, 23032, 24042, 25052, 26062, 27072, 28082, 29092, 31013, 32023, 33033, 34043, 35053, 36063, 37073, 38083

Offset

1,2

Comments

For prime entries in the sequence see A136098. - Lekraj Beedassy, Mar 15 2008, May 21 2008

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

101 is a member because 101 is a palindromic number A002113 and also a cyclops number A134808.

Maple

f:= proc(n, d) local L, m, k;
  L:= convert(9^d+n, base, 9);
  add((1+L[d+1-i])*(10^(i-1)+10^(2*d+1-i)), i=1..d)
end proc:
seq(seq(f(n, d), n=0..9^d-1), d=0..2); # Robert Israel, Feb 18 2018

Mathematica

Join[{0}, Flatten[Table[Select[Range[10^(2n), 10^(2n+1)-1], PalindromeQ[ #] && DigitCount[ #, 10, 0]==1&&IntegerDigits[#][[(IntegerLength[#]+1)/2]]==0&], {n, 2}]]] (* Harvey P. Dale, Dec 03 2022 *)

Crossrefs

Cf. A002113, A002385, A134808.

Sequence in context: A252664 A134970 A081365 * A069858 A357033 A319744

Adjacent sequences: A138128 A138129 A138130 * A138132 A138133 A138134

Keyword

base,easy,nonn

Author

Omar E. Pol, Mar 09 2008

Status

approved