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A158039 Determinant of power series of gamma matrix with determinant 7!. 2
5040, 464642640, 9271613897280, 126088436280779280, 1500148651789039497840, 16877281623734016459152640, 186571560637066991905251295920, 2070944486059672103635752020488080 (list; graph; refs; listen; history; text; 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..8,1..8) 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.
LINKS
EXAMPLE
a(1) = Determinant(A) = 7! = 5040.
MAPLE
seq(Determinant(sum(A^i, i=1..n)), n=1..20);
CROSSREFS
Sequence in context: A010800 A172544 A287083 * A071549 A181752 A208193
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 19 07:49 EDT 2024. Contains 370958 sequences. (Running on oeis4.)