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A108707 Minimum side in Pythagorean triangles with hypotenuse of n. 1
0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 5, 0, 9, 0, 8, 0, 0, 12, 0, 0, 0, 0, 7, 10, 0, 0, 20, 18, 0, 0, 0, 16, 21, 0, 12, 0, 15, 24, 9, 0, 0, 0, 27, 0, 0, 0, 0, 14, 24, 20, 28, 0, 33, 0, 0, 40, 0, 36, 11, 0, 0, 0, 16, 0, 0, 32, 0, 42, 0, 0, 48, 24, 21, 0, 0, 30, 0, 48, 0, 18, 0, 0, 13, 0, 60, 0, 39, 54 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..90.

MATHEMATICA

f[n_]:=Block[{k=n-1, m=Sqrt[n/2], a}, While[k>m&&!IntegerQ[(a=Sqrt[n^2-k^2])], k--]; If[k<=m, 0, a]]; Table[f[n], {n, 90}]

CROSSREFS

Cf. A083025, A046083, A046084, A009000, A009003, A108708.

A046080 gives the number of Pythagorean triangles with hypotenuse n.

Sequence in context: A321432 A220093 A097017 * A046775 A221787 A204060

Adjacent sequences:  A108704 A108705 A108706 * A108708 A108709 A108710

KEYWORD

nonn

AUTHOR

S├ębastien Dumortier, Jun 20 2005

EXTENSIONS

Extended by Ray Chandler, Dec 20 2011

STATUS

approved

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Last modified September 23 01:32 EDT 2020. Contains 337291 sequences. (Running on oeis4.)