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A133599
3
1, 3, 1, 3, 3, 1, 3, 7, 5, 1, 3, 9, 10, 5, 1, 3, 13, 22, 18, 7, 1, 3, 15, 31, 34, 21, 7, 1, 3, 19, 51, 75, 65, 33, 9, 1, 3, 21, 64, 111, 120, 83, 36, 9, 1, 3, 25, 92, 196, 266, 238, 140, 52, 11, 1
OFFSET
1,2
COMMENTS
Row sums = A133600: (1, 4, 7, 16, 28, 64, 112, ...).
FORMULA
A097806 * A133080 * A007318 as infinite lower triangular matrices, where A097806 = the pairwise operator and A133080 = an interpolation operator.
EXAMPLE
First few rows of the triangle:
1;
3, 1;
3, 3, 1;
3, 7, 5, 1;
3, 9, 10, 5, 1;
3, 13, 22, 18, 7, 1;
...
MAPLE
A133599aux := proc(n, k)
add(A097806(n, j)*A133080(j, k), j=k..n) ;
end proc:
A133599 := proc(n, k)
add(A133599aux(n, j)*binomial(j-1, k-1), j=k..n) ;
end proc: # R. J. Mathar, Jun 20 2015
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 18 2007
STATUS
approved