|
| |
|
|
A127447
|
|
Triangle defined by the matrix product A127446 * A054521, read by rows 1<=k<=n.
|
|
1
| |
|
|
1, 4, 0, 6, 3, 0, 12, 0, 4, 0, 10, 5, 5, 5, 0, 24, 6, 0, 0, 6, 0, 14, 7, 7, 7, 7, 7, 0, 32, 0, 16, 0, 8, 0, 8, 0, 27, 18, 0, 9, 9, 0, 9, 9, 0, 40, 10, 20, 10, 0, 0, 10, 0, 10, 0, 22, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0, 72, 12, 12, 0, 24, 0
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
FORMULA
| T(n,k) = sum_{j=k..n} A127446(n,j) * A054521(j,k).
|
|
|
EXAMPLE
| First few rows of the triangle are:
1;
4, 0;
6, 3, 0;
12, 0, 4, 0;
10, 5, 5, 5, 0;
24, 6, 0, 0, 6, 0;
14, 7, 7, 7, 7, 7, 0;
32, 0, 16, 0, 8 0, 8, 0;
...
|
|
|
MAPLE
| A054521 := proc(n, k) if igcd(n, k) = 1 then 1; else 0; fi; end:
A127447 := proc(n, k)
add( A127446(n, j)*A054521(j, k), j=k..n) ;
end proc:
seq(seq(A127447(n, m), m=1..n), n=1..12) ; # R. J. Mathar, Nov 08 2011
|
|
|
CROSSREFS
| Cf. A038040 (column k=1), A0000290 (row sums), A127446, A054521.
Sequence in context: A085968 A010637 A200692 * A096272 A021715 A075443
Adjacent sequences: A127444 A127445 A127446 * A127448 A127449 A127450
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 14 2007
|
| |
|
|
