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A158039 Determinant of power series of gamma matrix with determinant 7! +0
3
5040, 464642640, 9271613897280, 126088436280779280, 1500148651789039497840, 16877281623734016459152640, 186571560637066991905251295920, 2070944486059672103635752020488080 (list; graph; listen)
OFFSET

0,1

COMMENT

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

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

EXAMPLE

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

MAPLE

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

CROSSREFS

A111490, A158040, A158041, A158042, A158043, A158044, A158045, A158046, A158047, A158048, A158049, A158050

Sequence in context: A063411 A008552 A010800 this_sequence A071549 A072242 A045517

Adjacent sequences: A158036 A158037 A158038 this_sequence A158040 A158041 A158042

KEYWORD

nonn

AUTHOR

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

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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