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A307736 Sum of the largest sides of all acute integer triangles with perimeter n. 1
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, 90, 118, 107, 126, 128, 146, 164, 170, 172, 210, 198, 252, 224, 283, 268, 295, 318, 325, 370, 379, 384, 435, 442, 492, 480, 534, 563, 576, 606, 641, 699, 713, 694 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..60.

Wikipedia, Integer Triangle

FORMULA

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).

MATHEMATICA

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}]

CROSSREFS

Cf. A307729.

Sequence in context: A330950 A032060 A241385 * A309713 A153903 A331729

Adjacent sequences:  A307733 A307734 A307735 * A307737 A307738 A307739

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 15 2019

STATUS

approved

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Last modified November 26 09:38 EST 2020. Contains 338639 sequences. (Running on oeis4.)