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A158049 Determinant of power series with alternate signs of gamma matrix with determinant 6! 2
720, 95760, 323885520, 520091041680, 646101191031120, 1426723480107570960, 1908953197598354801040, 3574028285578402656777360, 5645446200753726958758372240, 9359837643523957747903959388560 (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..7,1..7)= 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)=6!=720

MAPLE

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

CROSSREFS

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

Sequence in context: A055361 A092716 A003931 * A047803 A166765 A008411

Adjacent sequences:  A158046 A158047 A158048 * A158050 A158051 A158052

KEYWORD

nonn

AUTHOR

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

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Last modified February 14 05:09 EST 2012. Contains 205570 sequences.