OFFSET
1,1
COMMENTS
The digits of all terms appear to be a substring of the digits 105263157894736842 (= A092697(2)) repeated. - Chai Wah Wu, Apr 23 2022
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..389
EXAMPLE
2*1052 + 1 = 2105. Thus, 1052 is in this sequence.
MATHEMATICA
Select[Range[100000000], FromDigits[Prepend[Drop[IntegerDigits[#], -1], Last[IntegerDigits[#]]]] == 2 # + 1 &]
PROG
(PARI) f(n) = if (n < 10, n, my(d=digits(n)); fromdigits(concat(d[#d], Vec(d, #d-1))));
isok(m) = f(m) == 2*m+1; \\ Michel Marcus, Apr 21 2022
(Python)
from itertools import count, islice
def A353054_gen(): # generator of terms
for l in count(1):
a, b = 10**l-2, 10**(l-1)-2
for m in range(1, 10):
q, r = divmod(m*a-1, 19)
if r == 0 and b <= q - 2 <= a:
yield 10*q+m
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Tanya Khovanova, Apr 20 2022
EXTENSIONS
a(4)-a(7) from Amiram Eldar, Apr 22 2022
a(8)-a(14) from Chai Wah Wu, Apr 23 2022
STATUS
approved