This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A377379 #5 Oct 29 2024 11:21:48 %S A377379 1,2,3,8,5,1296,7,64,27,10000,11,60466176,13,38416,50625,1024,17, %T A377379 60466176,19,10000000000,194481,234256,23,3656158440062976,125,456976, %U A377379 729,289254654976,29,14348907000000000000000,31,32768,1185921,1336336,1500625,3656158440062976 %N A377379 a(n) = rad(n)^binomial(bigomega(n) + omega(n), omega(n) + 1), where rad = A007947, bigomega = A001222, and omega = A001221. %C A377379 Product of row n of A376248. %H A377379 Michael De Vlieger, <a href="/A377379/b377379.txt">Table of n, a(n) for n = 1..1679</a> %F A377379 For prime p, a(p) = A243103(p) = A007955(p) = p. %F A377379 For prime power p^k, a(p^k) = A243103(p^k) = A007955(p^k) = p^(k+1). %F A377379 For n in A024619, a(n) != A010846(n) and A010846(n) > A000005(n). %t A377379 Array[Binomial[#2 + #1, #1 + 1] & @@ {PrimeNu[#], PrimeOmega[#]} &, 120] %Y A377379 Cf. A001221, A001222, A007947, A007955, A010846, A024619, A243103, A376248. %K A377379 nonn,easy %O A377379 1,2 %A A377379 _Michael De Vlieger_, Oct 27 2024