A034180 Numbers m with property that rotating digits of m right gives k*m + 1 for some k >= 1.

103, 1052, 1139, 2758, 26315, 206896, 1012658, 15789473, 137931034, 183673469, 3157894736, 421052631578, 1020408163265, 2105263157894, 13559322033898, 36842105263157, 241379310344827, 1525423728813559, 11392405063291139

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..958

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

Adjacent sequences: A034177 A034178 A034179 * A034181 A034182 A034183

Keyword

nonn,base

Author

Erich Friedman

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