OFFSET
1,1
LINKS
Andrew N. W. Hone, Heron triangles with two rational medians and Somos-5 sequences, European Journal of Mathematics, 8 (2022), 1424-1486; arXiv:2107.03197 [math.NT], 2021-2022.
Andrew N. W. Hone, Heron Triangles and the Hunt for Unicorns, Math. Intelligencer (2024); arXiv:2401.05581 [math.NT], 2024.
Wikipedia, Heronian triangle
FORMULA
MATHEMATICA
t[1|3|4] = 1; t[2] = -1; t[5] = -7;
s[-2|-1|0|1|2] = 1;
Do[f[n_] := f[n] = (f[n-1] f[n-4] + f[n-2] f[n-3]) / f[n-5], {f, {t, s}}];
a[n_] := Abs@Product[f[n] f[n+1] f[n+2]^2 f[n+3] f[n+4], {f, {s, t}}];
Table[a[n], {n, 10}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrey Zabolotskiy, Feb 10 2023
STATUS
approved