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.

A343111 Numbers having exactly 2 divisors of the form 8*k + 1, that is, numbers with exactly 1 divisor of the form 8*k + 1 other than 1.

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%I A343111 #11 Apr 06 2021 11:03:42
%S A343111 9,17,18,25,27,33,34,36,41,45,49,50,51,54,57,63,65,66,68,72,73,75,82,
%T A343111 85,89,90,97,98,100,102,105,108,113,114,117,119,121,123,125,126,129,
%U A343111 130,132,135,136,137,144,145,146,147,150,161,164,165,169,170,175
%N A343111 Numbers having exactly 2 divisors of the form 8*k + 1, that is, numbers with exactly 1 divisor of the form 8*k + 1 other than 1.
%H A343111 Jianing Song, <a href="/A343111/b343111.txt">Table of n, a(n) for n = 1..10000</a>
%e A343111 63 is a term since among the divisors of 63 (namely 1, 3, 7, 9, 21 and 63), the only divisors congruent to 1 modulo 8 are 1 and 9.
%o A343111 (PARI) res(n,a,b) = sumdiv(n, d, (d%a) == b)
%o A343111 isA343111(n) = (res(n,8,1) == 2)
%Y A343111 Numbers having m divisors of the form 8*k + i: A343107 (m=1, i=1), A343108 (m=0, i=3), A343109 (m=0, i=5), A343110 (m=0, i=7), this sequence (m=2, i=1), A343112 (m=1, i=3), A343113 (m=1, i=5), A141164 (m=1, i=7).
%Y A343111 Indices of 2 in A188169.
%Y A343111 A007519 is a subsequence.
%K A343111 nonn,easy
%O A343111 1,1
%A A343111 _Jianing Song_, Apr 05 2021