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A158044 Determinant of power series of gamma matrix with determinant 6!. 2
720, 8482320, 23846746320, 46069117007760, 78423934939027920, 126377664053739048720, 199725313669091369807760, 316583663401497456387173520, 508625335390476191389947899280 (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, Hoepli, 2008

EXAMPLE

a(1)=Determinant(A)=6!=720.

MAPLE

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

CROSSREFS

Cf. A111490, A158040, A158041, A158042, A158043.

Sequence in context: A075754 A143476 A008979 * A181751 A151596 A068300

Adjacent sequences:  A158041 A158042 A158043 * A158045 A158046 A158047

KEYWORD

nonn,changed

AUTHOR

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

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Last modified February 16 16:00 EST 2012. Contains 205938 sequences.