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A058899
Inconsummate numbers in base 3: no number is this multiple of the sum of its digits (in base 3).
4
17, 32, 44, 51, 94, 95, 96, 106, 107, 112, 118, 132, 148, 153, 199, 224, 226, 232, 235, 236, 238, 256, 265, 268, 269, 274, 277, 281, 282, 284, 285, 288, 296, 308, 318, 321, 334, 336, 343, 352, 354, 368, 396, 442, 443, 444, 454, 459, 469, 472
OFFSET
1,1
LINKS
MAPLE
For Maple code see A058906.
MATHEMATICA
base=3; Do[k=n; While[Apply[Plus, IntegerDigits[k, base]] n!=k&&k<250 n, k+=n]; If[k==250 n, Print[n]], {n, 1, 10^3}] (* Vincenzo Librandi, Sep 23 2017 *)
PROG
(Python)
from itertools import count, islice, combinations_with_replacement
from sympy.ntheory import digits
def A058899_gen(startvalue=1): # generator of terms >= startvalue
for n in count(max(startvalue, 1)):
for l in count(1):
if 2*l*n < 3**(l-1):
yield n
break
for d in combinations_with_replacement((0, 1, 2), l):
if (s:=sum(d)) > 0 and sorted(digits(s*n, 3)[1:]) == list(d):
break
else:
continue
break
A058899_list = list(islice(A058899_gen(), 20)) # Chai Wah Wu, May 10 2023
CROSSREFS
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Jan 09 2001
STATUS
approved