A324205 The largest zeroless polydivisible number in base n (written in base 10).

1, 8, 57, 616, 7465, 117636, 2054451, 42912896, 987654564, 25915636800, 736867916290, 23297940244152, 789024560946557, 29174313555611252, 1147797409031506920, 48649494479090875520, 2178349008754768757872, 104127216885225393371514

Offset

2,2

Links

Table of n, a(n) for n=2..19.

Wikipedia, Polydivisible number

Formula

a(n) is A324020(n)-th zeroless polydivisible number in base n (written in base 10).

Example

a(3) = (22)_3 = 8.
a(4) = (321)_4 = 57.
a(5) = (4431)_5 = 616.
a(6) = (54321)_6 = 7465.
a(7) = (666651)_7 = 117636.
a(8) = (7654463)_8 = 2054451.
a(9) = (88665375)_9 = 42912896.
a(10) = 987654564.
a(11) = (AA99779559)_11 = 25915636800.
a(12) = (BA9876A836A)_12 = 736867916290.

Crossrefs

Cf. A109032, A324019, A324020.

Sequence in context: A241594 A241595 A208596 * A002402 A015464 A144781

Adjacent sequences: A324202 A324203 A324204 * A324206 A324207 A324208

Keyword

nonn,base

Author

Seiichi Manyama, Sep 02 2019

Status

approved