Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of z.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =6a(6) =10a(7) =20a(8) =36a(9) =72a(10) =162a(11) =352a(12) =810a(13) =1872a(14) =4480a(15) =11088a(16) =27720a(17) =71280a(18) =186368a(19) =496128a(20) =1347192a(21) =3720960a(22) =10407936a(23) =29576988a(24) =85322160a(25) =249500160a(26) =738904320a(27) =2216712960a(28) =6732000000a(29) =20680540160