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A291971
Triangle read by rows: T(n,k) = 3 * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
3
1, 0, 3, 0, 3, 0, 3, 9, 0, 3, 9, 0, 3, 18, 0, 3, 18, 27, 0, 3, 27, 27, 0, 3, 27, 54, 0, 3, 36, 81, 0, 3, 36, 108, 81, 0, 3, 45, 135, 81, 0, 3, 45, 189, 162, 0, 3, 54, 216, 243, 0, 3, 54, 270, 405, 0, 3, 63, 324, 486, 243, 0, 3, 63, 378, 729, 243, 0, 3, 72, 432, 891
OFFSET
0,3
LINKS
EXAMPLE
First few rows are:
1;
0, 3;
0, 3;
0, 3, 9;
0, 3, 9;
0, 3, 18;
0, 3, 18, 27;
0, 3, 27, 27;
0, 3, 27, 54;
0, 3, 36, 81;
0, 3, 36, 108, 81.
CROSSREFS
Row sums give A032308.
Columns 0-1 give A000007, A010701.
Cf. A008289 (m=1), A291970 (m=2), this sequence (m=3).
Sequence in context: A262281 A297871 A292130 * A240923 A272727 A333791
KEYWORD
nonn,tabf,look
AUTHOR
Seiichi Manyama, Sep 07 2017
STATUS
approved