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%I #12 Mar 21 2023 07:38:35
%S 1,1,2,4,8,20,52,146,458,1498,5240,19562,76006,311258,1334108,5931250,
%T 27492122,132096626,655783888,3368747018,17837850110,97228103482,
%U 545514383396,3142793126018,18578114240578,112620106745570,698987455899992,4439420959115866,28832596784976998,191284437539842538
%N Antidiagonal sums of array A089975.
%o (PARI) T(n, k) = sum(i=max(0,n-k), floor(n/2), n!*k!/(2^i*(n-2*i)!*(k-n+i)!*i!)); \\ A089975
%o a(n) = sum(i=0, n, T(i, n-i)); \\ _Michel Marcus_, Mar 21 2023
%Y Cf. A089975.
%K easy,nonn
%O 0,3
%A _Paul Boddington_, Nov 17 2003
%E Name edited and more terms from _Michel Marcus_, Mar 21 2023
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