A058901 Inconsummate numbers in base 5: no number is this multiple of the sum of its digits (in base 5).

16, 22, 28, 46, 56, 58, 68, 74, 76, 80, 106, 108, 110, 118, 128, 136, 138, 140, 146, 152, 168, 198, 202, 206, 208, 230, 249, 256, 258, 262, 263, 268, 274, 276, 278, 280, 284, 286, 288, 290, 292, 294, 296, 298, 302, 318, 323, 324, 326, 336, 338

Offset: 1

Author

N. J. A. Sloane, Jan 09 2001

Keywords

• nonn
• base

Links

• Daniel Mondot, Table of n, a(n) for n = 1..33069

Crossrefs

Cf. A003635, A052491, A058898-A058907.

Programs

Maple

For Maple code see A058906.

Mathematica

base=5; Do[k=n; While[Apply[Plus, IntegerDigits[k, base]] n!=k&&k<250n, k+=n]; If[k==250 n, Print[n]], {n, 1, 10^4}] (* Vincenzo Librandi, Nov 03 2016 *)

Python

from itertools import count, islice, combinations_with_replacement
from sympy.ntheory import digits
def A058901_gen(startvalue=1): # generator of terms >= startvalue
    for n in count(max(startvalue,1)):
        for l in count(1):
            if 4*l*n < 5**(l-1):
                yield n
                break
            for d in combinations_with_replacement(range(5),l):
                if (s:=sum(d)) > 0 and sorted(digits(s*n,5)[1:]) == list(d):
                    break
            else:
                continue
            break
A058901_list = list(islice(A058901_gen(),20)) # Chai Wah Wu, May 10 2023