A382068 - OEIS

A382068

Array read by ascending antidiagonals: A(n,m) is obtained by concatenating the digits of floor(n/m) with those of its fractional part up to the digits of the first period, where the leading and trailing 0's are omitted.

1, 2, 5, 3, 1, 3, 4, 15, 6, 25, 5, 2, 1, 5, 2, 6, 25, 13, 75, 4, 16, 7, 3, 16, 1, 6, 3, 142857, 8, 35, 2, 125, 8, 5, 285714, 125, 9, 4, 23, 15, 1, 6, 428571, 25, 1, 10, 45, 26, 175, 12, 83, 571428, 375, 2, 1, 11, 5, 3, 2, 14, 1, 714285, 5, 3, 2, 9

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

The array begins as:

1, 5, 3, 25, 2, 16, 142857, 125, 1, 1, 9, ...

2, 1, 6, 5, 4, 3, 285714, 25, 2, 2, 18, ...

3, 15, 1, 75, 6, 5, 428571, 375, 3, 3, 27, ...

4, 2, 13, 1, 8, 6, 571428, 5, 4, 4, 36, ...

5, 25, 16, 125, 1, 83, 714285, 625, 5, 5, 45, ...

6, 3, 2, 15, 12, 1, 857142, 75, 6, 6, 54, ...

7, 35, 23, 175, 14, 116, 1, 875, 7, 7, 63, ...

8, 4, 26, 2, 16, 13, 1142875, 1, 8, 8, 72, ...

9, 45, 3, 225, 18, 15, 1285714, 1125, 1, 9, 81, ...

10, 5, 33, 25, 2, 16, 1428571, 125, 11, 1, 90, ...

11, 55, 36, 275, 22, 183, 1571428, 1375, 12, 11, 1, ...

...

A(4,1) = 4 since 4/1 = 4;

A(7,4) = 175 since 7/4 = 1.75;

A(5,7) = 714285 since 5/7 = 0.{714285}*, where {...}* means that these digits repeat forever.

CROSSREFS

Cf. A000012 (main diagonal), A000027 (1st column), A266385 (1st row).

Sequence in context: A059217 A383258 A021802 * A304174 A011192 A011356

Adjacent sequences: A382065 A382066 A382067 * A382069 A382070 A382071

KEYWORD

nonn,base,tabl

AUTHOR

Stefano Spezia, Mar 14 2025

STATUS

approved