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seq(seq(T(n, k), k=0..(h-> h*(n-h))(iquofloor(n, ^2)/4)), n=0..10);
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add(expand(x^(h-n)*b(n-1, s minus {h})) , , h=s))(nops(s)))
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end:
T:= (n, k)-> coeff(b(n, {}), x, k):
seq(seq(T(n, k), k=0..(h-> h*(n-h))(iquo(n, 2))), n=0..10);
# second Maple program:
b:= proc(n, s) option remember; `if`(n=0, 1, (k-> `if`(n>k,
b(n-1, s)*(k+1), 0)+`if`(n>k+1, b(n-1, {s[], n}), 0)+
add(expand(x^(h-n)*b(n-1, s minus {h})) , h=s))(nops(s)))
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Alois P. Heinz, <a href="/A368338/b368338_3.txt">Rows n = 0..33, flattened</a>
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Alois P. Heinz, <a href="/A368338/b368338_3.txt">Rows n = 0..22, 33, flattened</a>
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