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A316354
Triangle read by rows: T(1,1)=1, T(n,k) = T(n,k+1)+T(n-k,max(2*floor(k/2)-1,1)) and T(n,k) = 0 if k > A316355(n).
4
1, 1, 2, 1, 4, 2, 1, 7, 3, 1, 13, 6, 2, 24, 11, 4, 45, 21, 8, 1, 84, 39, 15, 2, 1, 156, 72, 27, 3, 1, 291, 135, 51, 6, 2, 543, 252, 96, 12, 4, 1013, 470, 179, 23, 8, 1889, 876, 333, 42, 15, 3524, 1635, 622, 79, 28, 1, 6575, 3051, 1162, 149, 53, 2, 1, 12266, 5691
OFFSET
1,3
LINKS
EXAMPLE
n\k | 1 2 3 4 5
----+-------------------
1 | 1;
2 | 1;
3 | 2, 1;
4 | 4, 2, 1;
5 | 7, 3, 1;
6 | 13, 6, 2;
7 | 24, 11, 4;
8 | 45, 21, 8, 1;
9 | 84, 39, 15, 2, 1;
10 | 156, 72, 27, 3, 1;
CROSSREFS
Columns 1,2 give A224704, A316356 (for n>0).
Sequence in context: A084534 A345877 A165899 * A104582 A209439 A133938
KEYWORD
nonn,tabf
AUTHOR
Seiichi Manyama, Jun 30 2018
STATUS
approved