

A323415


Numbers equal to the carryless sum of their divisors.


1



1, 14, 84, 120, 1180, 1450, 10180, 12784, 100180, 101180, 114500, 139204, 1100180, 10000180, 10010180, 10111180, 11000180, 85937220, 101011180, 101101180, 101110180, 101111180, 110000180, 111001180, 111100180, 111101180, 111110180
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Equivalently, numbers k such that A323394(k) = k.


LINKS

Table of n, a(n) for n=1..27.
Index entries for sequences related to carryless arithmetic


EXAMPLE

For k = 14:
 the divisors of 14 are: 1, 2, 7, 14,
 the sum of the units are: 1 + 2 + 7 + 4 = 14 == 4 (mod 10),
 the sum of the tens are: 1,
 hence A323394(14) = 14 and 14 belongs to the sequence.


PROG

(PARI) isok(n, base=10) = my (v=[]); fordiv (n, d, my (w=Vecrev(digits(d, base))); v=vector(max(#v, #w), k, (if (k>#v, w[k], k>#w, v[k], (v[k]+w[k])%base)))); fromdigits(Vecrev(v), base)==n


CROSSREFS

Cf. A323394.
Sequence in context: A250562 A166819 A108683 * A166389 A085036 A107935
Adjacent sequences: A323412 A323413 A323414 * A323416 A323417 A323418


KEYWORD

nonn,base


AUTHOR

Rémy Sigrist, Jan 13 2019


STATUS

approved



