A212284 First a(n) > 1 whose sum of digits is the same in base 10 as in base n.

20, 21, 12, 40, 50, 21, 70, 153, 10, 190, 108, 40, 126, 135, 50, 153, 162, 20, 180, 190, 70, 207, 216, 80, 234, 243, 30, 261, 270, 190, 290, 594, 102, 315, 324, 40, 342, 351, 120, 370, 380, 130, 792, 405, 50, 423, 432, 150, 450, 460, 160, 480, 490, 60, 504

Offset: 2

Author

Stanislav Sykora, May 08 2012

Keywords

• nonn
• easy
• base

Comments

There might exist an n for which there is no solution, in which case a(n) would be set to 0 by convention; however, no such case was found so far. Problem: does it exist?

Examples

			a(12)=108 because 108 is the first number > 1 such that when written in base 10 and in base 12 (i.e., 90), the sum of the expansion digits is the same, namely 9.
		

Links

• Stanislav Sykora, Table of n, a(n) for n = 2..10000

Crossrefs

Cf. A037308.