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A065412 a(n) = (A005867(n+1) - A000165(n))/96.

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%I A065412 #13 Sep 02 2023 16:59:47
%S A065412 0,0,0,0,1,20,480,10560,272640,8709120,280627200,10644480000,
%T A065412 439404134400,18781972070400,873535419187200,45751167221760000,
%U A065412 2665172872986624000,160281737951182848000,10593163661832880128000
%N A065412 a(n) = (A005867(n+1) - A000165(n))/96.
%C A065412 A005867 can be generated recursively using A006093 and A000165 can be generated recursively using the even numbers. Since all primes after 2 are odd, (A005867 - A000165)/96 is an integer.
%e A065412 A005867(n+1) begins 1, 2, 8, 48, 480, 5760, 92160, ...
%e A065412 A000165(n) begins   1, 2, 8, 48, 384, 3840, 46080, ...
%e A065412 difference begins   0, 0, 0,  0,  96, 1920, 46080, ... .
%Y A065412 Cf. A000165, A005867, A006093.
%K A065412 easy,nonn
%O A065412 0,6
%A A065412 _Alford Arnold_, Nov 23 2001
%E A065412 More terms from _Jason Earls_, Apr 23 2002