A143790 - OEIS

%I #7 Oct 31 2019 01:44:00

%S 1,3,1,4,6,1,7,41,19,1,11,281,341,46,1,18,1926,6119,2161,124,1,29,

%T 13201,109801,101521,15251,321,1,47,90481,1970299,4769326,1875749,

%U 103361,844,1,76,620166,35355581,224056801,230701876,33281921,711491,2206,1,123

%N Integer Quotients of Lucas Numbers; a rectangular array by downward antidiagonals.

%C Every integer-valued quotient of Lucas numbers (excluding L(0)=2) is in this array.

%C (Row 1) = A000032 except for a(0)

%C (Row 2) = A049685

%C (Row 3) = A049629

%C (Column 2) = A110391 except for initial terms

%F Row 1: L(k)/L(1), where L(k)=A000032(k) = k-th Lucas number, for k>=1;

%F Row n: L(2nk-n)/L(n) for n>=2, k>=1.

%e Q(3,2)=L(9)/L(3)=76/4=19.

%Y Cf. A000032.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Sep 01 2008