

A342426


Niven numbers in base 3/2: numbers divisible by their sum of digits in fractional base 3/2 (A244040).


6



1, 2, 6, 9, 14, 21, 40, 42, 56, 72, 84, 108, 110, 120, 126, 130, 143, 154, 156, 162, 165, 168, 169, 176, 180, 182, 189, 198, 220, 225, 231, 243, 252, 280, 288, 297, 306, 308, 320, 322, 330, 336, 348, 350, 364, 390, 423, 430, 432, 459, 460, 462, 480, 490, 504
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OFFSET

1,2


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


EXAMPLE

6 is a term since its representation in base 3/2 is 210 and 2 + 1 + 0 = 3 is a divisor of 6.
9 is a term since its representation in base 3/2 is 2100 and 2 + 1 + 0 + 0 = 3 is a divisor of 9.


MATHEMATICA

s[0] = 0; s[n_] := s[n] = s[2*Floor[n/3]] + Mod[n, 3]; q[n_] := Divisible[n, s[n]]; Select[Range[500], q]


CROSSREFS

Cf. A024629, A244040.
Subsequences: A342427, A342428, A342429.
Similar sequences: A005349 (decimal), A049445 (binary), A064150 (ternary), A064438 (quaternary), A064481 (base 5), A118363 (factorial), A328208 (Zeckendorf), A328212 (lazy Fibonacci), A331085 (negaFibonacci), A333426 (primorial), A334308 (base phi), A331728 (negabinary).
Sequence in context: A184836 A327895 A096378 * A217001 A320666 A079023
Adjacent sequences: A342423 A342424 A342425 * A342427 A342428 A342429


KEYWORD

nonn,base


AUTHOR

Amiram Eldar, Mar 11 2021


STATUS

approved



