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A107030
Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0.
4
1, 2, 1, 2, 2, 1, 2, 4, 2, 1, 2, 8, 6, 2, 1, 2, 16, 20, 8, 2, 1, 2, 32, 70, 38, 10, 2, 1, 2, 64, 252, 196, 62, 12, 2, 1, 2, 128, 924, 1062, 426, 92, 14, 2, 1, 2, 256, 3432, 5948, 3112, 792, 128, 16, 2, 1, 2, 512, 12870, 34120, 23686, 7302, 1326, 170, 18, 2, 1
OFFSET
0,2
FORMULA
Number triangle T(n, k)=(k-1)*C(k(n-k), n-k)-(k-2)*sum{j=0..n-k, C(k(n-k), j)}
EXAMPLE
Triangle begins
1;
2, 1;
2, 2, 1;
2, 4, 2, 1;
2, 8, 6, 2, 1;
2, 16, 20, 8, 2, 1;
CROSSREFS
Reversal of A107027.
Row sums are A107028.
Diagonal sums are A107031.
Columns include A040000, A000079, A000984, A047098.
Sequence in context: A263666 A107027 A355395 * A371692 A271362 A354555
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, May 09 2005
STATUS
approved