|
|
A333921
|
|
a(n) is the least k such that the decimal representation of n appears as a substring in the concatenation of 0, 1, ..., k.
|
|
3
|
|
|
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 2, 13, 14, 15, 16, 17, 18, 19, 20, 13, 22, 3, 24, 25, 26, 27, 28, 29, 30, 14, 24, 33, 4, 35, 36, 37, 38, 39, 40, 15, 25, 35, 44, 5, 46, 47, 48, 49, 50, 16, 26, 36, 46, 55, 6, 57, 58, 59, 60, 17, 27, 37, 47, 57, 66, 7, 68
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
Every nonnegative integer appears finitely many times in this sequence.
|
|
LINKS
|
|
|
FORMULA
|
a(n) <= n with equality iff n = 0 or n belongs to A131881.
|
|
PROG
|
(PARI) a(n, base=10) = { my (w=base^#digits(n, base), m=0); for (k=0, oo, my (d=if (k, digits(k, base), [0])); for (i=1, #d, m=(base*m+d[i])%w; if (m==n, return (k)))) }
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|