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A291960
Triangle read by rows: T(n,k) = T(n-k,k-1) + k * T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
5
1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 3, 0, 1, 3, 1, 0, 1, 7, 1, 0, 1, 7, 3, 0, 1, 15, 6, 0, 1, 15, 10, 1, 0, 1, 31, 16, 1, 0, 1, 31, 33, 3, 0, 1, 63, 45, 6, 0, 1, 63, 79, 14, 0, 1, 127, 130, 20, 1, 0, 1, 127, 198, 45, 1, 0, 1, 255, 300, 69, 3, 0, 1, 255, 517, 135
OFFSET
0,14
LINKS
FORMULA
G.f. of column k: x^(k*(k+1)/2) / Product_{j=1..k} (1-j*x^j).
EXAMPLE
First few rows are:
1;
0, 1;
0, 1;
0, 1, 1;
0, 1, 1;
0, 1, 3;
0, 1, 3, 1;
0, 1, 7, 1;
0, 1, 7, 3;
0, 1, 15, 6;
0, 1, 15, 10, 1.
CROSSREFS
Row sums give A204856.
Columns 0-2 give A000007, A000012, A052551(n-3).
Sequence in context: A178117 A095710 A216416 * A160052 A035650 A084475
KEYWORD
nonn,tabf
AUTHOR
Seiichi Manyama, Sep 06 2017
STATUS
approved