A211408 Numbers k such that the number of letters, excluding spaces and hyphens, in the English names of k and its reversal are the same.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 22, 33, 34, 35, 38, 41, 43, 44, 45, 48, 53, 54, 55, 58, 66, 67, 69, 76, 77, 79, 83, 84, 85, 88, 96, 97, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 115, 118, 121, 122, 123, 124, 125, 126, 127, 128, 129

Offset: 0

Author

Jonathan Vos Post, Feb 09 2013

Keywords

• nonn
• base
• easy
• word

Comments

All base-10 palindromes occur in this sequence.

Examples

			10 is in the sequence because "ten" has three letters, and so does "one" which is the name of the digital reverse of 10, which is 1 (because the leading 0 is truncated in 01).
14 is in the sequence because "fourteen" and "fortyone" both have 8 letters.
		

Links

• Robert G. Wilson v, Table of n, a(n) for n = 0..23885

Crossrefs

Subsequences: A002113.

Cf. A000027, A004086, A005589, A107322.

Programs

Mathematica

lst= {(* copy the words from https://oeis.org/A000027/a000027.txt *)}; f[n_] := StringLength@ ToString@ lst[[n + 1]]; fQ[n_] := f@ n == f@ FromDigits@ Reverse@ IntegerDigits@ n; Select[Range[0, 130], fQ] (* Robert G. Wilson v, Feb 12 2013 *)

Formula

{n such that A005589(n) = A005589(A004086(n))}.

Extensions

Corrected and extended by Robert G. Wilson v, Feb 12 2013