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A291929
Triangle read by rows: T(n,k) = T(n-k,k-1) + 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).
5
1, 0, 1, 0, 2, 0, 4, 1, 0, 9, 2, 0, 20, 6, 0, 46, 13, 1, 0, 105, 32, 2, 0, 242, 73, 6, 0, 557, 171, 15, 0, 1285, 394, 36, 1, 0, 2964, 914, 85, 2, 0, 6842, 2109, 201, 6, 0, 15793, 4877, 467, 15, 0, 36463, 11261, 1086, 38, 0, 84187, 26014, 2517, 89, 1, 0, 194388
OFFSET
0,5
LINKS
EXAMPLE
First few rows are:
1;
0, 1;
0, 2;
0, 4, 1;
0, 9, 2;
0, 20, 6;
0, 46, 13, 1;
0, 105, 32, 2;
0, 242, 73, 6;
0, 557, 171, 15;
0, 1285, 394, 36, 1.
CROSSREFS
Row sums give A291930.
Columns 0-1 give A000007, A006958 (for n>0).
Sequence in context: A144258 A056859 A272098 * A327807 A188448 A370412
KEYWORD
nonn,tabf
AUTHOR
Seiichi Manyama, Sep 06 2017
STATUS
approved