

A138548


Central moment sequence of tr(A^6) in USp(6).


0



1, 0, 5, 1, 63, 46, 1135, 1800, 25431, 66232, 666387, 2397605, 19650565, 87187842, 633498229, 3214996309, 21829972815, 120665223560, 790528831099, 4613644505799, 29715748525937, 179604102525370, 1149406514424945
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OFFSET

0,3


COMMENTS

If A is a random matrix in the compact group USp(6) (6x6 complex matrices that are unitary and symplectic), then a(n)=E[(tr(A^6)+1)^n] is the nth central moment of the trace of A^6, since E[tr(A^6)] = 1 (see A138546).


LINKS



FORMULA

mgf is A(z)=e^zF(z) where F(z) is the mgf of A138546.


EXAMPLE

a(5) = 46 because E[(tr(A^6)+1)^5] = 46 for a random matrix A in USp(6).


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



