A075826 n minus (number of letters in English name of n).

-4, -2, -1, -2, 0, 1, 3, 2, 3, 5, 7, 5, 6, 5, 6, 8, 9, 8, 10, 11, 14, 12, 13, 12, 14, 15, 17, 16, 17, 19, 24, 22, 23, 22, 24, 25, 27, 26, 27, 29, 35, 33, 34, 33, 35, 36, 38, 37, 38, 40, 45, 43, 44, 43, 45, 46, 48, 47, 48, 50, 55, 53, 54, 53, 55, 56, 58, 57, 58, 60, 63

Offset: 0

Author

Jon Perry, Oct 14 2002

Keywords

• sign
• word
• less

Comments

a(n) < 0 for n < 4, a(n) = 0 for n = 4 and a(n) > 0 for n > 4. - Bernard Schott, Feb 11 2020

The French variant would be n - A167507(n) = (-4, -1, -2, -2, -2, 1, 3, 3, 4, 5, 7, 7, 7, 7, 6, 9, 11, ...). The German variant would be n - A007208(n) = (-3, -2, -1, 0, 1, 1, 1, 4, 5, 6, 8, 7, 5, 6, 7, 8, 9, 10, ...). - M. F. Hasler, Mar 02 2020

Examples

			Seven contains 5 letters, therefore a(7) = 7 - 5 = 2.
		

References

• GCHQ, The GCHQ Puzzle Book, Penguin, 2016. See pages 49 and 214.

Crossrefs

Cf. A005589.

Programs

PARI

A075826(n)=n-A005589(n) \\ M. F. Hasler, Mar 02 2020

Formula

a(n) = n - A005589(n). - Michel Marcus, Feb 11 2020

Extensions

Corrected and extended by David W. Wilson, Jul 04 2005