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%I #20 Oct 23 2023 10:04:38
%S 1,7,112,3024,120960,6652800,479001600,43589145600,4881984307200,
%T 659067881472000,105450861035520000,19719311013642240000,
%U 4259371178946723840000,1052064681199840788480000,294578110735955420774400000,92792104881825957543936000000
%N a(n) = n!*(n+6)! / 6!.
%H Delbert L. Johnson, <a href="/A010795/b010795.txt">Table of n, a(n) for n = 0..250</a>
%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F From _Amiram Eldar_, Sep 27 2022: (Start)
%F Sum_{n>=0} 1/a(n) = 720*BesselI(6,2).
%F Sum_{n>=0} (-1)^n/a(n) = 720*BesselJ(6,2). (End)
%p f := n->n!*(n+6)!/6!;
%t Table[n! * (n + 6)!/6!, {n, 0, 15}] (* _Amiram Eldar_, Sep 27 2022 *)
%o (PARI) a(n)=n!^2*binomial(n+6,6) \\ _Charles R Greathouse IV_, Oct 23 2023
%Y Cf. A010791, A010792, A010793, A010794.
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
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