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A158042 Determinant of power series of gamma matrix with determinant 4! +0
11
24, 7200, 671832, 42120000, 2259461784, 116697218400, 6145075369464, 334042684560000, 18529848376972632, 1033842723079716000, 57545200744624079544, 3188945939520159000000, 176129265145080634433304 (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..5,1..5)= 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", 2008, ed. Hoepli.

EXAMPLE

a(1)=Determinant(A)=4!=24

MAPLE

seq(Determinant(sum(A^i, i=1..n)), n=1..30);

CROSSREFS

A111490, A158040, A158041

Sequence in context: A163576 A145408 A088616 this_sequence A147860 A159409 A065142

Adjacent sequences: A158039 A158040 A158041 this_sequence A158043 A158044 A158045

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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