A058900 Inconsummate numbers in base 4: no number is this multiple of the sum of its digits (in base 4).

29, 41, 71, 83, 93, 111, 113, 114, 116, 117, 122, 123, 125, 135, 137, 143, 146, 153, 164, 167, 191, 197, 201, 237, 242, 263, 275, 279, 282, 284, 285, 291, 303, 305, 311, 323, 326, 327, 332, 359, 362, 369, 372, 375, 377, 382, 383, 389, 407, 410

Offset

1,1

Links

Daniel Mondot, Table of n, a(n) for n = 1..15650

Maple

For Maple code see A058906.

Prog

(Python)
from itertools import count, islice, combinations_with_replacement
from sympy.ntheory import digits
def A058900_gen(startvalue=1): # generator of terms >= startvalue
    for n in count(max(startvalue, 1)):
        for l in count(1):
            if 3*l*n < 1<<((l-1)<<1):
                yield n
                break
            for d in combinations_with_replacement((0, 1, 2, 3), l):
                if (s:=sum(d)) > 0 and sorted(digits(s*n, 4)[1:]) == list(d):
                    break
            else:
                continue
            break
A058900_list = list(islice(A058900_gen(), 20)) # Chai Wah Wu, May 10 2023

Crossrefs

Cf. A003635, A052491, A058898-A058907.

Sequence in context: A157141 A107218 A346145 * A137226 A057539 A157257

Adjacent sequences: A058897 A058898 A058899 * A058901 A058902 A058903

Keyword

nonn,base

Author

N. J. A. Sloane, Jan 09 2001

Status

approved