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A124237
Riordan array (1/(1-2x), x/((1-x)(1-2x))).
1
1, 2, 1, 4, 5, 1, 8, 17, 8, 1, 16, 49, 39, 11, 1, 32, 129, 150, 70, 14, 1, 64, 321, 501, 338, 110, 17, 1, 128, 769, 1524, 1375, 640, 159, 20, 1, 256, 1793, 4339, 4973, 3075, 1083, 217, 23, 1, 512, 4097, 11762, 16508
OFFSET
0,2
COMMENTS
Row sums are A007052. Diagonal sums are F(2n+1)=A001519(n+1)=A122367(n). Product of A007318 and Delannoy triangle A008288.
FORMULA
Number triangle T(n,k)=sum{j=0..n-k, C(n-j,k)C(n+k,j)}
T(n,k) = 3*T(n-1,k) + T(n-1,k-1) - 2*T(n-2,k), T(0,0) = T(1,1) = 1, T(1,0) = 2, T(n,k) = 0 if k<0 or if k>n. - Philippe Deléham, Jan 17 2014
EXAMPLE
Triangle begins
1,
2, 1,
4, 5, 1,
8, 17, 8, 1,
16, 49, 39, 11, 1,
32, 129, 150, 70, 14, 1
CROSSREFS
Sequence in context: A102661 A121574 A117317 * A123876 A114164 A176667
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Oct 22 2006
STATUS
approved