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A158040 Determinant of power series of gamma matrix with determinant 2!. 12
2, 32, 258, 1664, 9710, 53664, 286762, 1497600, 7691238, 38995360, 195696226, 973894272, 4812812446, 23642953376, 115552680090, 562240972800, 2724987988054, 13161369525408, 63371643947474, 304287501281920 (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..3,1..3)= 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)=2!=2.

MAPLE

seq(Determinant(sum(A2^i, i=1..n)), n=1..30);

CROSSREFS

Cf. A111490.

Sequence in context: A008512 A179074 A035602 * A202746 A203017 A079766

Adjacent sequences:  A158037 A158038 A158039 * A158041 A158042 A158043

KEYWORD

nonn,changed

AUTHOR

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

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Last modified February 15 14:57 EST 2012. Contains 205823 sequences.