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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; 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..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.
LINKS
EXAMPLE
a(1) = Determinant(A) = 5! = 120.
MAPLE
seq(Determinant(sum(A^i, i=1..n)), n=1..30);
CROSSREFS
Sequence in context: A123380 A172805 A008701 * A009767 A181750 A003789
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)