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A140211 a(n) = Product_{d == 3 (mod 4) and d|n} d. 3

%I #19 Jan 07 2021 07:01:04

%S 1,1,3,1,1,3,7,1,3,1,11,3,1,7,45,1,1,3,19,1,21,11,23,3,1,1,81,7,1,45,

%T 31,1,33,1,245,3,1,19,117,1,1,21,43,11,45,23,47,3,7,1,153,1,1,81,605,

%U 7,57,1,59,45,1,31,1323,1,1,33,67,1,69,245,71,3,1,1,3375,19,77,117,79,1,81,1

%N a(n) = Product_{d == 3 (mod 4) and d|n} d.

%H J. Mulder, <a href="/A140211/b140211.txt">Table of n, a(n) for n = 1..20000</a>

%F a(n) | A007955(n). - _R. J. Mathar_, May 26 2016

%p A140211 := proc(n)

%p a := 1;

%p for d in numtheory[divisors](n) do

%p if modp(d,4) = 3 then

%p a := a*d ;

%p end if;

%p end do:

%p a;

%p end proc: # _R. J. Mathar_, Dec 15 2015

%t ListProduct[lst_] := Fold[Times, 1, lst] lst = {}; For[n = 1, n <= 1000, n++, AppendTo[lst, ListProduct[Select[Divisors[n], Mod[ #, 4] == 3 &]]]] lst (* Jasper Mulder (jasper.mulder(AT)planet.nl), Jul 15 2009 *)

%o (PARI) a(n) = my(p=1); fordiv(n, d, if ((d % 4)==3, p*=d)); p; \\ _Michel Marcus_, Jan 07 2021

%Y Cf. A140210, A007955.

%K nonn,easy

%O 1,3

%A _R. J. Mathar_, Jun 27 2008

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)