definition of anti-divisor

[Jonathan Post]

NEW SEQUENCE FROM Jonathan Vos Post

 %I A000001
 %S A000001 2, 6, 36, 144, 4320, 64800, 777600,
 65318400, 2743372800
 %N A000001 Anti-divisorial; the product of all anti-divisors of all
integers equal or less than n.
 %C A000001 Different from the anti-primorial, which is the partial
products of anti-primes.
 %F A000001 a(n) = PRODUCT[k=3..n] {anti-divisors(k)}
 = PRODUCT[k=3..n] PRODUCT[j=1..A066272(k)] (j-th
 element of k-th row of A130799) = partial products of A091507.
 %e A000001 a(11) = anti-divisors of 3 * anti-divisors of 4 * ... *
anti-divisors of 11 = (2) * (3) * (2 * 3) * (4) * (2 * 3 * 5) * (3 *
5) * (2 * 6) * (3 * 4 * 7) * (2 * 3 * 7) = 2743372800.
 %Y A000001 Cf. A066272, A091507, A130799.
 %O A000001 3,1
 %K A000001 ,easy,nonn,
 %A A000001 Jonathan Vos Post (jvospost2 at yahoo.com), Jul 25 2007
 RH
 RA 192.20.225.32