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.

A085267 Numbers having at least two representations as sum of a squarefree number and a nonzero square.

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%I A085267 #12 Feb 16 2025 08:32:50
%S A085267 6,7,10,11,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,
%T A085267 34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
%U A085267 57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78
%N A085267 Numbers having at least two representations as sum of a squarefree number and a nonzero square.
%C A085267 Numbers n such that A085263(a(n)) > 1.
%C A085267 Conjecture: for n > 50, a(n) = n + 11. - _Charles R Greathouse IV_, Oct 26 2011
%H A085267 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SquareNumber.html">Square Number</a>
%H A085267 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Squarefree.html">Squarefree</a>
%o A085267 (PARI) is(n)=my(t);forstep(k=sqrtint(n-1),1,-1,if(issquarefree(n-k^2),if(t++>1,return(1))));0 \\ _Charles R Greathouse IV_, Mar 12 2012
%Y A085267 Cf. A085265, A085266.
%K A085267 nonn
%O A085267 1,1
%A A085267 _Reinhard Zumkeller_, Jun 23 2003