cp's OEIS Frontend

A337995 T(n, k) = A337994(n, k) / A099398(n). Triangle read by rows, for 0 <= k <= n.

%I A337995 #4 Nov 28 2020 12:46:35
%S A337995 1,0,2,0,3,15,0,6,30,84,0,2,10,28,60,0,12,60,168,360,660,0,3,15,42,90,
%T A337995 165,273,0,2,10,28,60,110,182,280,0,6,30,84,180,330,546,840,1224,0,12,
%U A337995 60,168,360,660,1092,1680,2448,3420,0,2,10,28,60,110,182,280,408,570,770
%N A337995 T(n, k) = A337994(n, k) / A099398(n). Triangle read by rows, for 0 <= k <= n.
%e A337995 Triangle starts:
%e A337995 [0] 1
%e A337995 [1] 0, 2
%e A337995 [2] 0, 3,  15
%e A337995 [3] 0, 6,  30, 84
%e A337995 [4] 0, 2,  10, 28,  60
%e A337995 [5] 0, 12, 60, 168, 360, 660
%e A337995 [6] 0, 3,  15, 42,  90,  165, 273
%e A337995 [7] 0, 2,  10, 28,  60,  110, 182,  280
%e A337995 [8] 0, 6,  30, 84,  180, 330, 546,  840,  1224
%e A337995 [9] 0, 12, 60, 168, 360, 660, 1092, 1680, 2448, 3420
%p A337995 T := (n, k) -> `if`(n=0, 1, (k*(2*k+2)*(2*k+1)*(2*n-1)*binomial(2*(n-1),n-1))/(n*(n+1)*(n+2))/numer((2^(1-2*n)*binomial(2*n,n))/((n+1)*(n+2)))):
%p A337995 seq(seq(T(n, k), k=0..n), n=0..10);
%Y A337995 Cf. A337994, A099398.
%K A337995 nonn,tabl
%O A337995 0,3
%A A337995 _Peter Luschny_, Nov 01 2020