cp's OEIS Frontend

A089204 Triangle read by rows: T(n,k) = numerator of P(n, k) = 1 - n!/(n^k*(n-k)!).

%I A089204 #4 Aug 25 2024 18:44:37
%S A089204 1,1,7,1,5,29,1,13,101,601,1,4,13,49,319,1,19,223,2041,16087,116929,1,
%T A089204 11,151,407,3781,16069,130757,1,25,131,1627,17443,56809,526961,
%U A089204 4778489,1,7,62,436,1061,2936,30683,155683,1561933
%N A089204 Triangle read by rows: T(n,k) = numerator of P(n, k) = 1 - n!/(n^k*(n-k)!).
%C A089204 Triangle of numbers P(n,k) begins:
%C A089204 .............................1/2
%C A089204 ......................1/3...........7/9
%C A089204 ...............1/4...........5/8............29/32
%C A089204 .........1/5.........13/25.........101/125..........601/625
%C A089204 ...1/6.........4/9..........13/18...........49/54...............319/324
%e A089204 a(8) = 13 because 13 is numerator of 13/25 = P(5,3).
%e A089204 a(15) = 319 because 319 is numerator of 319/324 = P(6,6).
%Y A089204 Cf. A089206, A088141.
%K A089204 frac,nonn,tabl
%O A089204 1,3
%A A089204 Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), Dec 09 2003