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A158043 Determinant of power series of gamma matrix with determinant 5!. 2
120, 207600, 96647880, 30798705600, 8636938282920, 2309545097941200, 608543327609001240, 160948481103837273600, 43112754053898172364280, 11708778018848186302158000, 3213002829193456223967295560 (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..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, Hoepli, 2008

EXAMPLE

a(1)=Determinant(A)=5!=120.

MAPLE

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

CROSSREFS

Cf. A111490, A158040, A158041, A158042.

Sequence in context: A123380 A172805 A008701 * A009767 A181750 A003789

Adjacent sequences:  A158040 A158041 A158042 * A158044 A158045 A158046

KEYWORD

nonn,changed

AUTHOR

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

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.