A353736 Number of n-digit terms in A353007.

5, 21, 122, 765, 5000, 34581, 249152, 1843485, 14184320, 111117141, 890892032, 7338139005, 60554071040, 518102719701, 4409318285312, 38356828343325, 341939662684160, 2933245707834261, 28085287524564992, 229163829314312445, 2425706018857287680, 18151248585662332821

Offset: 1

Author

Michael S. Branicky, May 06 2022

Keywords

• nonn
• base

Comments

From Bernard Schott, Jul 14 2022: (Start)

Conjecture 1: lim_{n->oo} a(2n+1)/a(2n-1) = 100.

Conjecture 2: lim_{n->oo} a(2n+2)/a(2n) = 81.

These conjectures are the same as for A353735. (End)

Examples

			There are five 1-digit terms in A353007: 0, 2, 4, 6, 8. Thus, a(1) = 5.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..1002

Crossrefs

Cf. A333369, A353007, A353735.

Programs

Python

def isA353007(n):
    digits = list(map(int, str(n)))
    return all(digits.count(d)%2 != d%2 for d in set(digits))
def a(n):
    start = 0 if n == 1 else 10**(n-1)
    return sum(1 for i in range(start, 10**n) if isA353007(i))
print([a(n) for n in range(1, 7)]) # Michael S. Branicky, May 06 2022