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A127445
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Triangle defined by the matrix product A126988 * A127368, read by rows.
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1
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1, 3, 0, 4, 2, 0, 7, 0, 3, 0, 6, 2, 3, 4, 0, 12, 4, 0, 0, 5, 0, 8, 2, 3, 4, 5, 6, 0, 15, 0, 9, 0, 5, 0, 7, 0, 13, 8, 0, 4, 5, 0, 7, 8, 0, 18, 4, 9, 8, 0, 0, 7, 0, 9, 0, 12, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 28, 8, 9, 0, 15, 0, 7, 0, 0, 0, 11
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| T(n,k) = sum_{j=k..n} A126988(n,j) *A127368(j,k), 1<=k<=n.
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EXAMPLE
| First few rows of the triangle are:
1;
3, 0;
4, 2, 0;
7, 0, 3, 0;
6, 2, 3, 4, 0;
12, 4, 0, 0, 5, 0;
8, 2, 3, 4, 5, 6, 0;
...
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MAPLE
| A127368:=proc(n, k) if igcd(n, k) = 1 then k else 0 fi end:
A127445 := proc(n, k)
add (A126988(n, j)*A127368(j, k), j=k..n) ;
end proc:
seq(seq(A127445(n, k), k=1..n), n=1..14) ; # R. J. Mathar, Nov 11 2011
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CROSSREFS
| Cf. A126988, A127368, A000217 (row sums), A000203 (column k=1).
Sequence in context: A077140 A003815 A131486 * A081170 A201291 A077150
Adjacent sequences: A127442 A127443 A127444 * A127446 A127447 A127448
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 14 2007
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