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

0,3

Comments

All base-10 palindromes occur in this sequence.

Links

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

Formula

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

Example

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.

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 *)

Crossrefs

Subsequences: A002113.

Cf. A000027, A004086, A005589, A107322.

Sequence in context: A061430 A065448 A254656 * A107322 A194975 A299441

Adjacent sequences: A211405 A211406 A211407 * A211409 A211410 A211411

Keyword

nonn,base,easy,word

Author

Jonathan Vos Post, Feb 09 2013

Extensions

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

Status

approved