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.

A157279 Product 1*2*...*r mod n, where r = integer part of sqrt(n).

This page as a plain text file.
%I A157279 #6 Sep 08 2022 08:45:41
%S A157279 0,1,1,2,2,2,2,2,6,6,6,6,6,6,6,8,7,6,5,4,3,2,1,0,20,16,12,8,4,0,27,24,
%T A157279 21,18,15,0,17,36,18,0,23,6,32,16,0,30,15,0,42,40,42,48,5,18,35,0,24,
%U A157279 52,25,0,38,18,0,0,20,60,53,64,24,0,63,0,24,64,45,40,49,72,30,0,0,30,4,0
%N A157279 Product 1*2*...*r mod n, where r = integer part of sqrt(n).
%F A157279 a(n) = (floor(sqrt(n)))! mod n.
%e A157279 a(17) = (floor(sqrt(17)))! mod 17 = (floor(4.12...))! mod 17 = 4! mod 17 = 24 mod 17 = 7.
%t A157279 Table[Mod[Floor[Sqrt[n]]!,n],{n,90}] (* _Harvey P. Dale_, Feb 15 2022 *)
%o A157279 (Magma) [ Factorial(Floor(Sqrt(n))) mod n: n in [1..84] ];
%Y A157279 Cf. A000142 (factorial numbers), A000196 (integer part of square root of n).
%K A157279 nonn
%O A157279 1,4
%A A157279 Thomas Kerscher (Thomas.Kerscher(AT)web.de), Feb 26 2009
%E A157279 Edited and a(1) corrected by _Klaus Brockhaus_, May 27 2009