|
|
A332795
|
|
Lexicographically earliest sequence of distinct positive terms such that a(n) and a(n+1) are substrings of their product.
|
|
7
|
|
|
1, 10, 11, 100, 21, 1000, 31, 10000, 41, 100000, 51, 1000000, 61, 10000000, 71, 100000000, 81, 2817
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
a(19) = 87281795511221945137157107231920199501246882793017456359
1022443890274314214463840399002493765586034912718204488778054862
8428927680798004987531172069825436408977556109725685785536159601,
which is too large (184 digits) to be included in Data.
Here a(18)*a(19) = 245|a(19)|7 = 24587|a(18)|955... where | denotes digit concatenation. (End)
|
|
LINKS
|
|
|
EXAMPLE
|
a(1)*a(2) = 1*10 = 10 and 10 contains the substrings 1 and 10, which are precisely a(1) and a(2);
a(17)*a(18) = 81*2817 = 228177 and 228177 contains the substrings 81 and 2817, which are precisely a(17) and a(18).
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|