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A130888
Triangle read by rows, A051731(n,k) dot (1, 3, 7, 15, ...) with like numbers of terms.
0
1, 1, 3, 1, 0, 7, 1, 3, 0, 15, 1, 0, 0, 0, 31, 1, 3, 7, 0, 0, 63, 1, 0, 0, 0, 0, 0, 127, 1, 3, 0, 15, 0, 0, 0, 255
OFFSET
1,3
COMMENTS
Row sums = A130887: (1, 4, 8, 19, 32, 74, 128, 274, 519, 1058, ...).
FORMULA
Triangle read by rows, dot product of each row of A051731 and the same number of terms in the series (1, 3, 7, 15, ...).
G.f.: Sum_{k>0} (2^k-1)*(x*y)^k/(1-x^k). - Vladeta Jovovic, Dec 02 2008
EXAMPLE
First few rows of the triangle:
1;
1, 3;
1, 0, 7;
1, 3, 0, 15;
1, 0, 0, 0, 31;
1, 3, 7, 0, 0, 63;
...
Row 4 = (1, 3, 0, 15) = (1, 1, 0, 1) dot (1, 3, 7, 15); where (1, 1, 0, 1) = row 4 of A051731.
CROSSREFS
Sequence in context: A074678 A363976 A201586 * A010601 A176108 A110504
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Jun 07 2007
STATUS
approved