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

2,1

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?

Links

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

Example

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.

Crossrefs

Cf. A037308.

Sequence in context: A222958 A374170 A355312 * A091235 A078286 A004461

Adjacent sequences: A212281 A212282 A212283 * A212285 A212286 A212287

Keyword

nonn,easy,base

Author

Stanislav Sykora, May 08 2012

Status

approved