%I #10 Jul 14 2022 17:24:49

%S 1,3,7,15,32,72,178,494,1543,5373,20581,85653,383494,1833250,9301792,

%T 49857540,281193501,1663183383,10286884195,66365330811,445598473612,

%U 3107611606908,22470529228910,168190079241210,1301213084182483,10391369994732593,85553299734530113

%N Antidiagonal sums of square array A126885.

%C Conjecture: partial sums of A104879. - _Sean A. Irvine_, Jul 14 2022

%e a(4) = 1 + 5 + 11 + 10 + 5 = 32.

%o (Maxima)

%o T(n, k) := if k = 1 then 1 else n*T(n, k - 1) + k$ /* A126885 */

%o a(n) := sum(T(n - k + 1, k), k, 1, n + 1)$

%o makelist(a(n), n, 0, 50); /* _Franck Maminirina Ramaharo_, Jan 26 2019 */

%Y Cf. A126885.

%K nonn,easy

%O 0,2

%A _Gary W. Adamson_, Oct 12 2007