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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)

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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