A134777 First digit of n alphabetically.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 4, 5, 1, 1, 8, 9, 2, 1, 2, 3, 4, 5, 6, 7, 8, 9, 3, 1, 3, 3, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 5, 4, 4, 8, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 1, 6, 6, 4, 5, 6, 7, 8, 9, 7, 1, 7, 7, 4, 5, 7, 7, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 4, 5, 9, 9, 8, 9, 1, 1, 1, 1, 4

Offset: 0

Author

Rick L. Shepherd, Nov 11 2007

Keywords

• base
• easy
• nonn
• word

Comments

Digits are decimal with names in English (see A000052). A134777(n)=A134778(n) iff n is a repdigit (n=A010785(m)), in which case a(n)=A010888(m), the repeated digit. a(n)=0 only for n=0. a(n)=8 iff n is a member of A011538.

Examples

			a(104) = 4 because the digits of 104 are 1 (one), 0 (zero) and 4 (four) and "four" occurs before both "one" and "zero" alphabetically.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A134778, A000052, A010785, A010888, A011538.

Programs

Python

def alpha(n): return [8, 5, 4, 9, 1, 7, 6, 3, 2, 0].index(n)
def a(n): return sorted(map(int, str(n)), key=alpha)[0]
print([a(n) for n in range(105)]) # Michael S. Branicky, Dec 12 2023