cp's OEIS Frontend

A342311 T(n, k) = (n - k + 2)*binomial(2*n, n + k - 2). Triangle read by rows, T(n, k) for 0 <= k <= n.

%I A342311 #6 Mar 08 2021 15:29:36
%S A342311 0,0,2,4,12,12,30,60,60,30,168,280,280,168,56,840,1260,1260,840,360,
%T A342311 90,3960,5544,5544,3960,1980,660,132,18018,24024,24024,18018,10010,
%U A342311 4004,1092,182,80080,102960,102960,80080,48048,21840,7280,1680,240
%N A342311 T(n, k) = (n - k + 2)*binomial(2*n, n + k - 2). Triangle read by rows, T(n, k) for 0 <= k <= n.
%e A342311 [0] 0
%e A342311 [1] 0,      2
%e A342311 [2] 4,      12,     12
%e A342311 [3] 30,     60,     60,     30
%e A342311 [4] 168,    280,    280,    168,    56
%e A342311 [5] 840,    1260,   1260,   840,    360,    90
%e A342311 [6] 3960,   5544,   5544,   3960,   1980,   660,    132
%e A342311 [7] 18018,  24024,  24024,  18018,  10010,  4004,   1092,  182
%e A342311 [8] 80080,  102960, 102960, 80080,  48048,  21840,  7280,  1680,  240
%e A342311 [9] 350064, 437580, 437580, 350064, 222768, 111384, 42840, 12240, 2448, 306
%p A342311 T := (n, k) -> (n - k + 2)*binomial(2*n, n + k - 2):
%p A342311 seq(seq(T(n, k), k=0..n), n=0..9);
%Y A342311 Cf. A002939 (main diagonal), A217213, A002740.
%K A342311 nonn,tabl
%O A342311 0,3
%A A342311 _Peter Luschny_, Mar 08 2021