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A158041 Determinant of power series of gamma matrix with determinant 3! 11
6, 372, 8862, 148800, 2096886, 26922756, 332847654, 4138425600, 53260806102, 715168132932, 9918365312598, 139707565435200, 1971543518031366, 27670255890476676, 385457279875640742, 5335884957031756800 (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..4,1..4) = 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)=3!=6.

MAPLE

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

CROSSREFS

Cf. A111490, A158040.

Sequence in context: A042759 A188954 A099595 * A078207 A060871 A193133

Adjacent sequences:  A158038 A158039 A158040 * A158042 A158043 A158044

KEYWORD

nonn,changed

AUTHOR

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

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Last modified February 14 08:49 EST 2012. Contains 205614 sequences.