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A158043 Determinant of power series of gamma matrix with determinant 5! +0
10
120, 207600, 96647880, 30798705600, 8636938282920, 2309545097941200, 608543327609001240, 160948481103837273600, 43112754053898172364280, 11708778018848186302158000, 3213002829193456223967295560 (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..6,1..6)= 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)=5!=120

MAPLE

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

CROSSREFS

A111490, A158040, A158041, A158042

Sequence in context: A068296 A123380 A008701 this_sequence A009767 A003789 A046987

Adjacent sequences: A158040 A158041 A158042 this_sequence A158044 A158045 A158046

KEYWORD

nonn

AUTHOR

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

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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