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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

From Giovanni Resta, Feb 26 2020: (Begin)

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

Table of n, a(n) for n=1..18.

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

Cf. A066217.

Sequence in context: A153069 A332703 A178569 * A303605 A266946 A081551

Adjacent sequences:  A332792 A332793 A332794 * A332796 A332797 A332798

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Carole Dubois, Feb 24 2020

STATUS

approved

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Last modified May 6 13:04 EDT 2021. Contains 343585 sequences. (Running on oeis4.)