A362375 a(n) = rad((2n-1)!/(n-1)!).

1, 6, 30, 210, 210, 2310, 30030, 30030, 510510, 9699690, 9699690, 223092870, 223092870, 223092870, 6469693230, 200560490130, 200560490130, 200560490130, 7420738134810, 7420738134810, 304250263527210, 13082761331670030, 13082761331670030, 614889782588491410

Offset

1,2

Comments

Squarefree kernel of the product of the larger parts of the partitions of 2n into 2 parts.

Links

Table of n, a(n) for n=1..24.

Index entries for sequences related to partitions

Formula

a(n) = A007947(A000407(n-1)).

Prog

(PARI) a(n) = factorback(factorint((2*n-1)!/(n-1)!)[, 1]); \\ Michel Marcus, May 01 2023

Crossrefs

Cf. A000407, A007947, A034386.

Sequence in context: A325950 A275953 A322170 * A369959 A057896 A336509

Adjacent sequences: A362372 A362373 A362374 * A362376 A362377 A362378

Keyword

nonn

Author

Wesley Ivan Hurt, Apr 30 2023

Status

approved