A339753 Base-ten n whose English number-word expression contains a letter making its n-th appearance in the list of consecutive positive integer number-words.

1, 2, 3, 11, 23, 24, 29, 31, 108, 109, 198, 199, 240, 241, 243, 244, 245, 246, 247, 248, 249, 250, 251, 453, 454, 559, 1174, 1716, 5556, 5557, 6956, 6957, 15756, 17155, 24998, 24999, 43568, 43569, 735759, 1105805, 1105806, 1105807, 1107784, 1107785, 1584503, 1584504

Offset: 1

Author

Claudio Meller and Hans Havermann, Dec 15 2020

Keywords

• nonn
• base
• word
• fini

Comments

Conjecture: a(494) = 1001001001001998 (for the letter 'a').

Examples

			In the list of English consecutive positive integers (one, two, three, ...)
the first 'o', the first 'n', and the first 'e' are in 'one',
the 2nd 'o' is the only such in 'two',
the 3rd 'e' is the second of two such in 'three',
the 11th 'e' is the second of three such in 'eleven',
the 23rd 't' is the third of three such in 'twenty-three',
the 24th 't' is the first of two such in 'twenty-four',
the 29th 'n' is the second of three such in 'twenty-nine',
the 31st 'n' is the only such in 'thirty-one',
the 108th 'n' is the second of two such in 'one hundred eight', ...
		

Links

• Hans Havermann, Table of n, a(n) for n = 1..493
• Hans Havermann, On target (revisited)

Crossrefs

Cf. A339752 (digits variant).