A368828 Numbers with the same number of zeros and letters O in their English name.

0, 3, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 23, 25, 26, 27, 28, 29, 33, 35, 36, 37, 38, 39, 40, 53, 55, 56, 57, 58, 59, 63, 65, 66, 67, 68, 69, 73, 75, 76, 77, 78, 79, 83, 85, 86, 87, 88, 89, 93, 95, 96, 97, 98, 99, 103, 105, 106, 107, 108, 109, 110, 120, 130, 150, 160, 170, 180, 190, 203, 205, 206, 207

Offset: 1

Author

Eric Angelini, Jan 07 2024

Keywords

• base
• nonn
• word

Examples

			0 = zerO (one 0 and one O), 3 = three (no 0 and no O), 5 = five (no 0 and no O), 6 = six (no 0 and no O), 7 = seven (no 0 and no O), etc.
1 is not in the sequence as (1 = One) is a contradiction, as are (2 = twO), (4 = fOur), (10 = ten), etc.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A227857, A368829 (French name).

Programs

Mathematica

Select[Range[0,207], Count[IntegerDigits[#],0] == Count[Characters[IntegerName[#]], "o"]&] (* Stefano Spezia, Jan 07 2024 *)

Python

from num2words import num2words
def ok(n): return str(n).count('0') == num2words(n).count('o')
print([k for k in range(208) if ok(k)]) # Michael S. Branicky, Jan 07 2024

Extensions

a(36)-a(38) corrected by Stefano Spezia, Jan 07 2024