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.

A307736 Sum of the largest sides of all acute integer triangles with perimeter n.

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%I A307736 #43 Sep 17 2020 16:16:53
%S A307736 0,0,1,0,2,2,3,3,7,8,9,9,16,11,24,19,35,28,39,40,42,53,56,57,71,73,98,
%T A307736 90,118,107,126,128,146,164,170,172,210,198,252,224,283,268,295,318,
%U A307736 325,370,379,384,435,442,492,480,534,563,576,606,641,699,713,694
%N A307736 Sum of the largest sides of all acute integer triangles with perimeter n.
%H A307736 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%F A307736 a(n) = Sum_{k=1..floor(n/3)} Sum_{i=k..floor((n-k)/2)} (1-sign(floor((n-i-k)^2/(i^2+k^2)))) * sign(floor((i+k)/(n-i-k+1))) * (n-i-k).
%t A307736 Table[Sum[Sum[(n - i - k)*(1 - Sign[Floor[(n - i - k)^2/(i^2 + k^2)]]) Sign[Floor[(i + k)/(n - i - k + 1)]], {i, k, Floor[(n - k)/2]}], {k, Floor[n/3]}], {n, 150}]
%Y A307736 Cf. A307729.
%K A307736 nonn
%O A307736 1,5
%A A307736 _Wesley Ivan Hurt_, May 15 2019