login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A230310 Numbers k such that Sum_{a=0..72*k-1, b=0..72*k-1} (a+b*i)^(72*k) !== 0 (mod 72*k), where i is the imaginary unit. 7

%I #23 Dec 25 2023 17:50:36

%S 14,28,42,55,56,70,84,95,110,112,126,140,154,165,168,182,190,210,220,

%T 224,238,252,266,275,280,285,308,322,330,336,350,364,378,380,385,406,

%U 420,434,440,448,462,475,476,495,504,506,518,532,546,550,560,570,574,602,616,630,644,658,660,665,672,700,714,715,728,742

%N Numbers k such that Sum_{a=0..72*k-1, b=0..72*k-1} (a+b*i)^(72*k) !== 0 (mod 72*k), where i is the imaginary unit.

%t aa[n_] := Mod[Sum[PowerMod[ a + b I, n, n], {a, n}, {b, n}], n]; Select[Range[100], aa[72*#] > 0 &]

%Y Cf. A230308, A230309.

%K nonn

%O 1,1

%A _José María Grau Ribas_, Oct 16 2013

%E Terms a(7) onward from _Max Alekseyev_, Oct 16 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 1 03:12 EDT 2024. Contains 372148 sequences. (Running on oeis4.)