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A034180
Numbers m with property that rotating digits of m right gives k*m + 1 for some k >= 1.
2
103, 1052, 1139, 2758, 26315, 206896, 1012658, 15789473, 137931034, 183673469, 3157894736, 421052631578, 1020408163265, 2105263157894, 13559322033898, 36842105263157, 241379310344827, 1525423728813559, 11392405063291139
OFFSET
1,1
LINKS
EXAMPLE
Rotating 103 gives 310 and 310 = 3 * 103 + 1. - Sean A. Irvine, Aug 04 2020
PROG
(Python)
from itertools import count, islice
def A034180_gen(): # generator of terms
for l in count(1):
clist = []
for k in range(1, 10):
a, b = 10**l-k, 10**(l-1)-k
for m in range(1, 10):
q, r = divmod(m*a-1, 10*k-1)
if r == 0 and b <= q - k <= a:
clist.append(10*q+m)
yield from sorted(clist)
A034180_list = list(islice(A034180_gen(), 20)) # Chai Wah Wu, Apr 23 2022
CROSSREFS
Sequence in context: A262758 A023355 A113629 * A076460 A346499 A245495
KEYWORD
nonn,base
EXTENSIONS
Terms sorted and title clarified by Sean A. Irvine, Aug 04 2020
a(19) corrected by Chai Wah Wu, Apr 23 2022
STATUS
approved