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.

A356456 Numbers k not divisible by 3 such that 2*k^2 is not in A014567.

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%I A356456 #11 Aug 08 2022 09:15:43
%S A356456 10,28,40,50,70,77,110,130,133,136,140,154,155,160,161,170,176,190,
%T A356456 196,200,209,224,230,250,259,266,275,280,290,308,310,322,350,364,370,
%U A356456 371,377,385,410,416,418,430,440,469,470,476,490,496,518,520,530,532,539,550,553,590
%N A356456 Numbers k not divisible by 3 such that 2*k^2 is not in A014567.
%C A356456 Numbers k not divisible by 3 such that k and sigma(2*k^2) are not coprime, sigma = A000203.
%C A356456 Note that if m is twice a square, then sigma(m) is divisible by 3 (cf. A065766).
%H A356456 Jianing Song, <a href="/A356456/b356456.txt">Table of n, a(n) for n = 1..11669</a> (all terms <= 100000)
%e A356456 28 is a term since 28 and sigma(2*28^2) = 3591 have a common factor 7, and 28 is not divisible by 3.
%o A356456 (PARI) isA356456(n) = (n%3) && gcd(n, sigma(2*n^2))>1
%Y A356456 Cf. A014567, A000203, A065766.
%Y A356456 Equals A356453 \ A008585.
%K A356456 nonn,easy
%O A356456 1,1
%A A356456 _Jianing Song_, Aug 07 2022