A278588 - OEIS

%I #25 Oct 23 2023 02:24:03

%S 9,18,198,27,54,2997,36,396,108,39996,45,90,135,180,499995,54,594,

%T 5994,3564,270,5999994,63,126,189,252,315

%N 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).

%H Arnout Jaspers, <a href="https://www.pyth.eu/uploads/user/ArchiefPDF/Pyth55-5.pdf">Megaperiodieke Breuken Maken</a>, Pythagoras, Number 5, April 2016, pp. 26-29.

%H Arnout Jaspers, <a href="/A278588/a278588.txt">Creating Mega-Periodic Fractions</a> (Loose English translation from _R. J. Mathar_).

%e Triangle begins (read down columns):

%e ...1.....2....3....4....5.....6......7....(p_2)

%e 1..9....18...27...36...45....54.....63

%e 2......198...54..396...90...594....126

%e 3..........2997..108..135..5994....189

%e 4..............39996..180..3564....252

%e 5..................499995...270....315

%e ...

%e (p_1)

%Y Cf. A110807 (diagonal?)

%K nonn,tabl

%O 1,1

%A _N. J. A. Sloane_, Dec 03 2016, based on English translations provided by _Arie Bos_ and _R. J. Mathar_.