A269333 Smallest number such that the sum of the digits of n * a(n) is greater than n.

2, 2, 2, 2, 3, 3, 4, 6, 11, 29, 6, 8, 6, 7, 33, 18, 17, 111, 21, 249, 38, 44, 39, 162, 239, 153, 737, 246, 231, 2333, 258, 309, 303, 882, 1971, 8333, 2027, 1842, 2051, 19997, 2439, 7119, 2093, 13409, 111111, 13043, 10617, 20831, 18161, 399999, 72549, 55769, 56583

Offset

1,1

Links

Table of n, a(n) for n=1..53.

Formula

a(n) = A269332(n) / n.

Prog

(PARI) a(n) = my(m=2*n); while (sumdigits(m) <= n, m+=n); m/n; \\ Michel Marcus, Feb 24 2016
(Python)
from itertools import count
def A269333(n): return next(k for k in count(2) if sum(map(int, str(k*n)))>n) # Chai Wah Wu, Jul 25 2022

Crossrefs

Cf. A269332.

Sequence in context: A005139 A005134 A081651 * A029193 A308052 A005858

Adjacent sequences: A269330 A269331 A269332 * A269334 A269335 A269336

Keyword

nonn,base

Author

Franklin T. Adams-Watters, Feb 24 2016

Extensions

More terms from Michel Marcus, Feb 24 2016

Status

approved