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%I #9 Oct 16 2023 13:42:28
%S 2,60,30240,98017920,857180548224000,109720581991308288000,
%T 70265584374661732509573120000,61765285634580106110458762035200000,
%U 642817384174195049892129048242945261568000000
%N Group the natural numbers into clumps with increasing prime numbers of elements, then multiply the members of each clump.
%F a(n) = A007504(n)!/A007504(n-1)!. - _Andrew Howroyd_, Oct 16 2023
%e Dividing 1,2,3,4,5,6,7,8,9,10,... into clumps of 2,3,5,.. elements: {1,2}, {3,4,5}, {6,7,8,9,10}, ... and then multiply each clumps to get 2,60,30240,...
%Y Cf. A007504, A034956.
%K nonn
%O 1,1
%A _Lior Manor_, Dec 29 2002