A339673 Numbers that cannot be expressed as sum of at most nine repdigits numbers. One may not add two integers with the same repeated digit.

25427, 31427, 32027, 32087, 32093, 37032, 37583, 37643, 37693, 49390, 49501, 50611, 60490, 60501, 60611, 61600, 61601, 61611, 61711, 61721, 61722, 62958, 62959, 62969, 63069, 64069, 65427, 72958, 72959, 72969, 73069, 73958, 73959, 73969, 74058, 74059, 74068

Offset: 1

Author

Rodolfo Kurchan, Jan 17 2021

Keywords

• base
• nonn

Comments

Computer solutions found by Oscar Volpatti.

Examples

			8888 and 888 cannot be used in the same expression.
Examples: 25599 = 22222 + 3333 + 44, 98765 = 88888 + 7777 + 1111 + 555 + 333 + 99 + 2.
It appears that 987654 and 987650 cannot be expressed in this way.
25427 is the smallest number without solution.
Smallest solution that ends with digits from 0 to 9 (solutions from Oscar Volpatti): 0: 49390 1: 49501 2: 37032 3: 32093 4: 143204 5: 254315 6: 74106 7: 25427 8: 62958 9: 62959.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000
• Carlos Rivera and Rodolfo Kurchan, Puzzle 1027. Integers as sum of distinct repdigits, The prime puzzles & problems connection.

Crossrefs

Cf. A235400.