A071627 The n-th term of Chernoff sequence A006939 divided by (n + 1)!.

1, 1, 2, 15, 630, 242550, 1040539500, 66400727518125, 71562941411142431250, 1596518198505361496634018750, 938998452767448490315979899506187500, 15693832493195927010608457268015759163973281250

Offset

0,3

Comments

A006939(n) divided by the number of divisors of A006939(n), which is (n + 1)!.

Links

Amiram Eldar, Table of n, a(n) for n = 0..37

Formula

a(n) = A006939(n)/(n + 1)! = A006939(n)/A000005(A006939(n)).

Mathematica

Table[Product[Prime[k]^(n - k + 1), {k, 1, n}] / (n + 1)!, {n, 0, 11}] (* Amiram Eldar, Mar 15 2025 *)

Prog

(PARI) a(n) = prod(k=1, n, prime(k)^(n-k+1))/(n + 1)!; \\ Michel Marcus, Jan 11 2023

Crossrefs

Cf. A006939, A000142, A000005.

Sequence in context: A078475 A015185 A203467 * A013064 A013095 A208051

Adjacent sequences: A071624 A071625 A071626 * A071628 A071629 A071630

Keyword

easy,nonn

Author

Labos Elemer, May 30 2002

Extensions

Corrected by Georg Fischer, Jan 11 2023

Status

approved