A343921 The maximum number of times a positive number can be added to n such that the digits in each resulting sum are distinct.

36, 9, 12, 13, 12, 11, 15, 12, 11, 26, 14, 13, 23, 11, 11, 13, 26, 11, 12, 12, 13, 23, 14, 11, 24, 12, 13, 35, 25, 12, 12, 16, 13, 12, 12, 11, 13, 11, 17, 12, 13, 12, 15, 9, 12, 12, 25, 9, 14, 22, 12, 23, 12, 25, 34, 11, 11, 13, 22, 11, 16, 12, 14, 12, 12, 24, 13, 13, 15, 12, 13, 10, 11, 11, 9

Offset: 0

Author

Scott R. Shannon, May 04 2021

Keywords

• nonn
• base

Comments

See A338659 for the smallest positive number that can be added to n a total of a(n) times such that the digits in each resulting sum are distinct.

See A343922 for the largest positive number that can be added to n a total of a(n) times such that the digits in each resulting sum are distinct.

Examples

			a(8) = 11 as A338659(8) = A343922(8) = 150 can be added to 8 a total of 11 times with each sum containing distinct digits. The sums are 158, 308, 458, 608, 758, 908, 1058, 1208, 1358, 1508, 1658. No other positive number can be added to 8 a total of 11 or more times to produce such sums.
		

Crossrefs

Cf. A338659, A343922, A010784, A043096, A029743.

Formula

a(n) = 0 for n >= 9876543210.