cp's OEIS Frontend

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.

A064032 Product of unitary divisors of binomial(n, floor(n/2)).

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%I A064032 #8 Jul 22 2024 15:23:43
%S A064032 1,2,3,36,100,400,1225,24010000,252047376,4032758016,
%T A064032 2075562447064149770496,531343986448422341246976,
%U A064032 75186222935463997063888896,19247673071478783248355557376,2940278105018015412903875390625,566574142904620264536665169363475932852029446342410000000000000000
%N A064032 Product of unitary divisors of binomial(n, floor(n/2)).
%F A064032 a(n) = A061537(A001405(n)). - _Amiram Eldar_, Jul 22 2024
%t A064032 f[n_] := n^(2^(PrimeNu[n]-1)); Table[f[Binomial[n, Floor[n/2]]], {n, 1, 20}] (* _Amiram Eldar_, Jul 22 2024 *)
%o A064032 (PARI) a(n) = apply(x -> x^(2^(omega(x)-1)), binomial(n, n\2)); \\ _Amiram Eldar_, Jul 22 2024
%Y A064032 Cf. A001405, A048243, A056173, A061537, A061538.
%K A064032 nonn
%O A064032 1,2
%A A064032 _Labos Elemer_, Sep 13 2001
%E A064032 a(15)-a(16) from _Amiram Eldar_, Jul 22 2024