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
Examples
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)
Links
- 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_).
Crossrefs
Cf. A110807 (diagonal?)