Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #8 Jul 22 2024 15:23:43
%S 1,2,3,36,100,400,1225,24010000,252047376,4032758016,
%T 2075562447064149770496,531343986448422341246976,
%U 75186222935463997063888896,19247673071478783248355557376,2940278105018015412903875390625,566574142904620264536665169363475932852029446342410000000000000000
%N Product of unitary divisors of binomial(n, floor(n/2)).
%F a(n) = A061537(A001405(n)). - _Amiram Eldar_, Jul 22 2024
%t f[n_] := n^(2^(PrimeNu[n]-1)); Table[f[Binomial[n, Floor[n/2]]], {n, 1, 20}] (* _Amiram Eldar_, Jul 22 2024 *)
%o (PARI) a(n) = apply(x -> x^(2^(omega(x)-1)), binomial(n, n\2)); \\ _Amiram Eldar_, Jul 22 2024
%Y Cf. A001405, A048243, A056173, A061537, A061538.
%K nonn
%O 1,2
%A _Labos Elemer_, Sep 13 2001
%E a(15)-a(16) from _Amiram Eldar_, Jul 22 2024