A351710 - OEIS

%I #5 Feb 16 2022 20:12:40

%S 0,1,1,2,1,30,1,720,720,40440,1,3991680,1,479006640,482630400,

%T 87178291200,1,22230464256000,1,6403681380096000,6402460884019200,

%U 2432902008216556800,1,1175091669949317120000,2432902008176640000,620448401733245666380800,620448401733239439360000

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

%F a(A000040(n)) = 1.

%e a(6) = 30; a(6) = Sum_{p|6} (6-p)! = (6-2)! + (6-3)! = 4*3*2*1 + 3*2*1 = 30.

%Y Cf. A000040, A000142, A062363, A351708, A351709.

%K nonn

%O 1,4

%A _Wesley Ivan Hurt_, Feb 16 2022