A089204 - OEIS

%I #4 Aug 25 2024 18:44:37

%S 1,1,7,1,5,29,1,13,101,601,1,4,13,49,319,1,19,223,2041,16087,116929,1,

%T 11,151,407,3781,16069,130757,1,25,131,1627,17443,56809,526961,

%U 4778489,1,7,62,436,1061,2936,30683,155683,1561933

%N Triangle read by rows: T(n,k) = numerator of P(n, k) = 1 - n!/(n^k*(n-k)!).

%C Triangle of numbers P(n,k) begins:

%C .............................1/2

%C ......................1/3...........7/9

%C ...............1/4...........5/8............29/32

%C .........1/5.........13/25.........101/125..........601/625

%C ...1/6.........4/9..........13/18...........49/54...............319/324

%e a(8) = 13 because 13 is numerator of 13/25 = P(5,3).

%e a(15) = 319 because 319 is numerator of 319/324 = P(6,6).

%Y Cf. A089206, A088141.

%K frac,nonn,tabl

%O 1,3

%A Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), Dec 09 2003