

A212284


First a(n) > 1 such that its sum of digits is the same in base 10 as in base n.


1



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
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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: A302363 A165841 A222958 * A091235 A078286 A004461
Adjacent sequences: A212281 A212282 A212283 * A212285 A212286 A212287


KEYWORD

nonn,easy,base


AUTHOR

Stanislav Sykora, May 08 2012


STATUS

approved



