A338659 -id:A338659 - cp's OEIS frontend

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

Scott R. Shannon, May 04 2021

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.

			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.

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

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

A343922 The largest positive number that can be added to n the maximum number of times, see A343921(n), such that the digits in each resulting sum are distinct, or -1 if no such number exists.

Original entry on oeis.org

27, 7012, 34, 81, 15, 781, 48, 86, 150, 37, 355, 23, 37, 47, 56, 15, 37, 931, 55, 355, 44, 37, 14, 17, 27, 340, 811, 27, 37, 340, 31, 37, 37, 15, 778, 61, 14, 91, 22, 48, 44, 233, 63, 299, 606, 75, 37, 9111, 75, 37, 14, 27, 7811, 37, 27, 91, 37, 63, 37, 171, 287, 391, 74, 43, 44, 37, 43, 480

Offset: 0

Scott R. Shannon, May 04 2021

			a(0) = 27 as 27 can be added to 0 a total of A343921(0) = 36 times with each sum containing distinct digits. The 36 sums are 27, 54, 81, 108, 135, ..., 918, 945, 972. No other positive number can be added 36 or more times to 0 to produce such sums.
a(1) = 7012 as 7012 can be added to 1 a total of A343921(1) = 9 times with each sum containing distinct digits. The sums are 7013, 14025, 21037, 28049, 35061, 42073, 49085, 56097, 63109. There are fourteen positive numbers in all which can be added to 1 a total of 9 times producing sums with distinct digits, the smallest being 1 (see A338659).
a(47) = 9111 as 9111 can be added to 47 a total of A343921(47) = 9 times with each sum containing distinct digits. The sums are 9158, 18269, 27380, 36491, 45602, 54713, 63824, 72935, 82046. There are five positive numbers in all which can be added to 47 a total of 9 times producing sums with distinct digits, the smallest being 3 (see A338659).

Cf. A343921, A338659, A010784, A043096, A029743.

a(n) = -1 for n >= 9876543210.

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Examples

Crossrefs

Formula