A370971 A008336(n) is divisible by the product of the primes p such that n/2 <= p < n; a(n) is the quotient.

1, 1, 1, 1, 8, 8, 4, 4, 32, 288, 144, 144, 12, 12, 6, 90, 1440, 1440, 80, 80, 4, 84, 42, 42, 1008, 25200, 12600, 340200, 12150, 12150, 405, 405, 12960, 427680, 213840, 7484400, 207900, 207900, 103950, 4054050, 162162000, 162162000, 3861000, 3861000, 87750, 1950, 975, 975, 46800, 2293200, 45864, 2339064, 44982

Offset

1,5

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..2732

Formula

a(n) = A008336(n)/A055773(n-1).

Example

For n= 7, A008336(7) = 20. The only prime with 3.5 <= p < 7 is 5, so a(7) = 20/5 = 4.
For n= 8, A008336(7) = 140. The only primes with 4 <= p < 8 are 5 and 7, so a(8) = 140/(5*7) = 4.

Crossrefs

Cf. A008336, A055773 (note that A055773 has offset 0).

Sequence in context: A085669 A154012 A154845 * A126600 A254615 A154841

Adjacent sequences: A370968 A370969 A370970 * A370972 A370973 A370974

Keyword

nonn

Author

N. J. A. Sloane, Apr 13 2024

Status

approved