A060156 -id:A060156 - cp's OEIS frontend

A138263 Smallest positive integer m such that n divides [10^m/m] (=A060156(m)).

1, 1, 3, 4, 1, 11, 13, 5, 3, 1, 13, 52, 19, 13, 11, 5, 24, 11, 37, 4, 13, 13, 45, 84, 2, 19, 13, 34, 94, 11, 12, 5, 13, 24, 13, 92, 3, 37, 19, 5, 11, 13, 96, 238, 11, 45, 51, 84, 43, 2, 33, 272, 76, 13, 13, 34, 37, 95, 36, 164, 181, 24, 13, 10, 19, 13, 39, 46, 67, 13, 82, 92, 17

Offset: 1

Max Alekseyev, Mar 09 2008

nonn

This sequence is well-defined.

Romanian Master in Mathematics Contest, Problem 3, Bucharest, 2007.

Cf. A060156, A138255, A138256, A138257, A138258, A138259, A138260, A138261, A138262.

A060155 Table T(n,k) by antidiagonals of floor(n^k/k) [n,k >= 1].

Original entry on oeis.org

1, 0, 2, 0, 2, 3, 0, 2, 4, 4, 0, 4, 9, 8, 5, 0, 6, 20, 21, 12, 6, 0, 10, 48, 64, 41, 18, 7, 0, 18, 121, 204, 156, 72, 24, 8, 0, 32, 312, 682, 625, 324, 114, 32, 9, 0, 56, 820, 2340, 2604, 1555, 600, 170, 40, 10, 0, 102, 2187, 8192, 11160, 7776, 3361, 1024, 243, 50, 11

Offset: 1

Henry Bottomley, Mar 12 2001

			T(5,3)=[5^3/3]=[125/3]=41.
Rows start:
  1,  0,  0,   0,   0, ...
  2,  2,  2,   4,   6, ...
  3,  4,  9,  20,  48, ...
  4,  8, 21,  64, 204, ...
  5, 12, 41, 156, 625, ...

Seiichi Manyama, Antidiagonals n = 1..140, flattened

Rows include A000007, A000799, A092763, A129794, A129795, A129796, A129797, A129798, A129799, A060156.
Columns include A000027, A007590.
Diagonals include A000169.

T(n, k) = (A051129(n, k)-A060154(n, k))/k.

A056159 a(n) = floor(10^(n-1)/n).

Original entry on oeis.org

1, 5, 33, 250, 2000, 16666, 142857, 1250000, 11111111, 100000000, 909090909, 8333333333, 76923076923, 714285714285, 6666666666666, 62500000000000, 588235294117647, 5555555555555555, 52631578947368421, 500000000000000000

Offset: 1

Henry Bottomley, Jul 31 2000

nonn

Seiichi Manyama, Table of n, a(n) for n = 1..1000
Index entries for sequences related to decimal expansion of 1/n

Cf. A057072, A060156.

Table[Floor[10^(n-1)/n],{n,20}] (* Harvey P. Dale, Apr 15 2018 *)

a(n) = 10^(n-1)\n; \\ Seiichi Manyama, Aug 12 2023

More terms from Harvey P. Dale, Apr 15 2018

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A138263 Smallest positive integer m such that n divides [10^m/m] (=A060156(m)).

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A060155 Table T(n,k) by antidiagonals of floor(n^k/k) [n,k >= 1].

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A056159 a(n) = floor(10^(n-1)/n).

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