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.

A085141 Greatest nonnegative integer k such that k(3k+1)/2 <= n.

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%I A085141 #10 Sep 15 2024 06:50:06
%S A085141 0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,
%T A085141 4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,
%U A085141 6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8
%N A085141 Greatest nonnegative integer k such that k(3k+1)/2 <= n.
%F A085141 a(n) = floor((sqrt(24n+1)-1)/6).
%F A085141 a(A005449(n)) = n.
%o A085141 (PARI) a(n)=if(n<0,0,(sqrtint(24*n+1)-1)\6)
%Y A085141 Cf. A005449.
%K A085141 nonn,easy
%O A085141 0,8
%A A085141 _Michael Somos_, Jun 19 2003