|
Search: id:A027446
|
|
|
| A027446 |
|
Square of the lower triangular mean matrix. |
|
+0 7
|
|
| 1, 3, 1, 11, 5, 2, 25, 13, 7, 3, 137, 77, 47, 27, 12, 147, 87, 57, 37, 22, 10, 1089, 669, 459, 319, 214, 130, 60, 2283, 1443, 1023, 743, 533, 365, 225, 105, 7129, 4609, 3349, 2509, 1879, 1375, 955, 595, 280, 7381, 4861, 3601, 2761, 2131, 1627, 1207, 847
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
The rational matrix A^2, where the matrix A has elements a[i,j]=1/A002024(i,j) is equal to A119947(i,j)/A119948(i,j).
|
|
FORMULA
|
Numerators of lower triangle of (a[ i, j ])^2 where a[ i, j ] = 1/i if j<=i, 0 if j>i.
a(i,j)= LCM(seq(A119948(i,m),m=1..i))*A119947(i,j)/A119948(i,j), 1 =< j =< i and zero otherwise.
|
|
CROSSREFS
|
The row sums give A081528(n), n>=1.
The column sequences give A025529, A027457, A027458 for j=1, ...3.
The diagonal sequences give A002944, A027449, A027450.
Cf. A027447, A027448.
Sequence in context: A099001 A119947 A165674 this_sequence A027516 A092808 A113955
Adjacent sequences: A027443 A027444 A027445 this_sequence A027447 A027448 A027449
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Olivier Gerard (olivier.gerard(AT)gmail.com)
|
|
|
Search completed in 0.002 seconds
|