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A107322
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English name for number and its reverse have the same number of letters.
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4
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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, 131, 132
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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Obviously includes all palindromes (A002113).
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LINKS
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EXAMPLE
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35 is in sequence because 35 ("thirty-five") and 53 ("fifty-three") each have 10 letters in English (dashes not counted).
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MATHEMATICA
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Select[Range[0, 132], Length[Select[Characters[IntegerName[#, "Words"]], LetterQ]]==Length[Select[Characters[IntegerName[FromDigits[Reverse[IntegerDigits[#]]], "Words"]], LetterQ]]&] (* James C. McMahon, Feb 12 2024 *)
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PROG
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(Python)
from num2words import num2words
def n2w(n):
map = {ord(c): None for c in "-, "}
return num2words(n).replace(" and", "").translate(map)
def ok(n): return len(n2w(n)) == len(n2w(int(str(n)[::-1])))
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CROSSREFS
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KEYWORD
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base,nonn,word
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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