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a(n) = Sum_{p|n, p prime} p!.
2

%I #5 Feb 16 2022 20:13:29

%S 0,2,6,2,120,8,5040,2,6,122,39916800,8,6227020800,5042,126,2,

%T 355687428096000,8,121645100408832000,122,5046,39916802,

%U 25852016738884976640000,8,120,6227020802,6,5042,8841761993739701954543616000000,128,8222838654177922817725562880000000

%N a(n) = Sum_{p|n, p prime} p!.

%e a(6) = 8; a(6) = Sum_{p|6} p! = 2! + 3! = 2*1 + 3*2*1 = 8.

%Y Cf. A000040, A000142, A062363, A351708.

%K nonn

%O 1,2

%A _Wesley Ivan Hurt_, Feb 16 2022