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%I #7 Jul 27 2022 10:43:11
%S 1,840,498960,285405120,173145772800,115598414131200,
%T 86165279456256000,72034173625430016000,67538393730337001472000,
%U 70856069211827240140800000,82901600977837870964736000000
%N Sixth column (k=7) of array A090438 ((4,2)-Stirling2) divided by 48=4!*2.
%F a(n)=A090438(n, 7)/48, n>=4.
%F a(n)=binomial(2*n-2, 5)*(2*n)!/(7!*4!*2)= A053132(n+1)*(2*n)!/(7!*4!), n>=4.
%F E.g.f.:(sum(((-1)^(p+1))*binomial(7, p)*hypergeom([(p-1)/2, p/2], [], 4*x), p=2..7) + 6)/(7!*48) (cf. A090438).
%F D-finite with recurrence (2*n-7)*(n-4)*a(n) -2*n*(n-1)*(2*n-1)*(2*n-3)*a(n-1)=0. - _R. J. Mathar_, Jul 27 2022
%p A091036 := proc(n)
%p binomial(2*n-2,5)*(2*n)!/7!/4!/2 ;
%p end proc:
%p seq(A091036(n),n=4..40) ; # _R. J. Mathar_, Jul 27 2022
%Y Cf. A091035 (fifth column of A090438).
%K nonn,easy
%O 4,2
%A _Wolfdieter Lang_, Jan 23 2004
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