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.

A205007 a(n) = (1/n)*A205006(n), where A205006(n) = s(k)-s(j), with (s(k),s(j)) the least pair of distinct triangular numbers for which n divides their difference.

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%I A205007 #11 Sep 29 2018 18:41:34
%S A205007 2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
%T A205007 1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,
%U A205007 1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
%N A205007 a(n) = (1/n)*A205006(n), where A205006(n) = s(k)-s(j), with (s(k),s(j)) the least pair of distinct triangular numbers for which n divides their difference.
%C A205007 For a guide to related sequences, see A204892.
%H A205007 Antti Karttunen, <a href="/A205007/b205007.txt">Table of n, a(n) for n = 1..23515</a>
%t A205007 (See the program at A205002.)
%o A205007 (PARI) A205007(n) = for(k=2,oo,my(sk=binomial(k+1,2)); for(j=1,k-1,if(!((sk-binomial(j+1,2))%n),return((sk-binomial(j+1,2))/n)))); \\ _Antti Karttunen_, Sep 27 2018
%Y A205007 Cf. A000217, A205002, A205006, A204892.
%Y A205007 Cf. A318894 (gives the positions terms larger than one).
%K A205007 nonn
%O A205007 1,1
%A A205007 _Clark Kimberling_, Jan 21 2012
%E A205007 More terms from _Antti Karttunen_, Sep 27 2018