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.

A307729 Sum of the smallest sides of all acute integer triangles with perimeter n.

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%I A307729 #51 Jun 16 2020 14:21:14
%S A307729 0,0,1,0,1,2,1,2,4,5,4,6,8,6,13,11,18,17,19,23,22,30,29,32,37,40,54,
%T A307729 49,63,63,65,73,79,94,90,98,113,110,138,127,151,154,161,181,180,210,
%U A307729 209,216,240,247,279,269,297,320,318,348,359,402,396,401,441,440
%N A307729 Sum of the smallest sides of all acute integer triangles with perimeter n.
%H A307729 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%F A307729 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))) k.
%t A307729 Table[Sum[Sum[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, 100}]
%Y A307729 Cf. A070093.
%K A307729 nonn
%O A307729 1,6
%A A307729 _Wesley Ivan Hurt_, May 15 2019