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.

A064033 Product of non-unitary divisors of binomial(n, floor(n/2)) or a(n) = 1 if all divisors are unitary. See A046098.

This page as a plain text file.
%I A064033 #7 Jul 22 2024 15:23:50
%S A064033 1,1,1,1,1,20,1,1,15876,1016255020032,1,728933458176,8670998958336,
%T A064033 19247673071478783248355557376,1714723915100625,
%U A064033 752711194884611945703392100000000,1,31226235883841773375939805209600000000,1,1357651828905889565182743230460164655087616
%N A064033 Product of non-unitary divisors of binomial(n, floor(n/2)) or a(n) = 1 if all divisors are unitary. See A046098.
%F A064033 a(n) = A061538(A001405(n)).
%t A064033 f[n_] := n^((DivisorSigma[0, n] - 2^PrimeNu[n]) / 2); Table[f[Binomial[n, Floor[n/2]]], {n, 1, 20}] (* _Amiram Eldar_, Jul 22 2024 *)
%o A064033 (PARI) a(n) = apply(x -> x^((numdiv(x) - 2^omega(x))/2), binomial(n, n\2)); \\ _Amiram Eldar_, Jul 22 2024
%Y A064033 Cf. A001405, A048243, A056173, A061537, A061538.
%K A064033 nonn
%O A064033 1,6
%A A064033 _Labos Elemer_, Sep 13 2001
%E A064033 a(18)-a(20) from _Amiram Eldar_, Jul 22 2024