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A158039 Determinant of power series of gamma matrix with determinant 7!. 2
5040, 464642640, 9271613897280, 126088436280779280, 1500148651789039497840, 16877281623734016459152640, 186571560637066991905251295920, 2070944486059672103635752020488080 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

a(n) = Determinant(A+A^2+ A^3+A^4+A^5+... A^n)

where A is the submatrix A(1..8,1..8)= of the matrix with factorial determinant

A= [[1,1,1,1,1,1,...],[1,2,1,2,1,2,...],[1,2,3,1,2,3,...],[1,2,3,4,1,2,...],[1,2,3,4,5,1,...],[1,2,3,4,5,6,...],...] note: Determinant A(1..n,1..n) = (n-1)!.

REFERENCES

G. Balzarotti and P. P. Lava, Le sequenze di numeri interi, Hoepli, 2008

EXAMPLE

a(1)=Determinant(A)=7!=5040.

MAPLE

seq(Determinant(sum(A^i, i=1..n)), n=1..20);

CROSSREFS

Cf. A111490, A158040-A158050.

Sequence in context: A008552 A010800 A172544 * A071549 A181752 A195391

Adjacent sequences:  A158036 A158037 A158038 * A158040 A158041 A158042

KEYWORD

nonn,changed

AUTHOR

Giorgio Balzarotti & Paolo P. Lava (greenblue(AT)tiscali.it), Mar 11 2009

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Last modified February 14 09:35 EST 2012. Contains 205614 sequences.