A278588 Triangle read by rows: T(p_1,p_2) = maximal period of a decimal fraction (r/s)*(t/u) given that r/s has period p_1 and t/u has period p_2 (1 <= p_1 <= p_2).

9, 18, 198, 27, 54, 2997, 36, 396, 108, 39996, 45, 90, 135, 180, 499995, 54, 594, 5994, 3564, 270, 5999994, 63, 126, 189, 252, 315

Offset

1,1

Links

Table of n, a(n) for n=1..26.

Arnout Jaspers, Megaperiodieke Breuken Maken, Pythagoras, Number 5, April 2016, pp. 26-29.

Arnout Jaspers, Creating Mega-Periodic Fractions (Loose English translation from R. J. Mathar).

Example

Triangle begins (read down columns):
...1.....2....3....4....5.....6......7....(p_2)
1..9....18...27...36...45....54.....63
2......198...54..396...90...594....126
3..........2997..108..135..5994....189
4..............39996..180..3564....252
5..................499995...270....315
...
(p_1)

Crossrefs

Cf. A110807 (diagonal?)

Sequence in context: A222811 A002169 A050685 * A133361 A353183 A005400

Adjacent sequences: A278585 A278586 A278587 * A278589 A278590 A278591

Keyword

nonn,tabl

Author

N. J. A. Sloane, Dec 03 2016, based on English translations provided by Arie Bos and R. J. Mathar.

Status

approved