A377379 - OEIS

%I #5 Oct 29 2024 11:21:48

%S 1,2,3,8,5,1296,7,64,27,10000,11,60466176,13,38416,50625,1024,17,

%T 60466176,19,10000000000,194481,234256,23,3656158440062976,125,456976,

%U 729,289254654976,29,14348907000000000000000,31,32768,1185921,1336336,1500625,3656158440062976

%N a(n) = rad(n)^binomial(bigomega(n) + omega(n), omega(n) + 1), where rad = A007947, bigomega = A001222, and omega = A001221.

%C Product of row n of A376248.

%H Michael De Vlieger, <a href="/A377379/b377379.txt">Table of n, a(n) for n = 1..1679</a>

%F For prime p, a(p) = A243103(p) = A007955(p) = p.

%F For prime power p^k, a(p^k) = A243103(p^k) = A007955(p^k) = p^(k+1).

%F For n in A024619, a(n) != A010846(n) and A010846(n) > A000005(n).

%t Array[Binomial[#2 + #1, #1 + 1] & @@ {PrimeNu[#], PrimeOmega[#]} &, 120]

%Y Cf. A001221, A001222, A007947, A007955, A010846, A024619, A243103, A376248.

%K nonn,easy

%O 1,2

%A _Michael De Vlieger_, Oct 27 2024