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A369702
Smallest k > n such that the decimal expansion of k*n contains n as a substring of consecutive decimal digits.
1
10, 6, 10, 6, 7, 10, 10, 10, 10, 11, 100, 26, 87, 51, 21, 26, 69, 51, 63, 21, 58, 51, 97, 26, 29, 51, 100, 46, 79, 31, 100, 51, 100, 51, 41, 38, 100, 51, 87, 41, 59, 51, 100, 51, 61, 51, 74, 51, 51, 51, 69, 76, 100, 100, 61, 76, 100, 79, 61, 61, 92, 100, 100, 76, 81, 100, 100, 76, 97, 71
OFFSET
1,1
LINKS
FORMULA
a(n) <= 10^A055642(n). - Michael S. Branicky, Jan 29 2024
EXAMPLE
a(12) = 26 because 26 is the smallest integer greater than 12 such that 12 * 26 = 312 contains 12 as a substring.
MATHEMATICA
a[n_]:=(k=n+1; While[!StringContainsQ[ToString[n*k], ToString@n], k++]; k); Array[a, 70]
PROG
(Python)
from itertools import count
def a(n):
s = str(n)
return next(k for k in count(n+1) if s in str(k*n))
print([a(n) for n in range(1, 71)]) # Michael S. Branicky, Jan 29 2024
CROSSREFS
Cf. A055642.
Sequence in context: A072930 A071358 A167873 * A033986 A049004 A104645
KEYWORD
nonn,base,look
AUTHOR
STATUS
approved