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A108708 Maximum side in Pythagorean triangles with hypotenuse of n. 1
0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 12, 0, 12, 0, 15, 0, 0, 16, 0, 0, 0, 0, 24, 24, 0, 0, 21, 24, 0, 0, 0, 30, 28, 0, 35, 0, 36, 32, 40, 0, 0, 0, 36, 0, 0, 0, 0, 48, 45, 48, 45, 0, 44, 0, 0, 42, 0, 48, 60, 0, 0, 0, 63, 0, 0, 60, 0, 56, 0, 0, 55, 70, 72, 0, 0, 72, 0, 64, 0, 80, 0, 0, 84, 0, 63, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..88.

MATHEMATICA

f[n_] := Block[{k = n - 1, m = Sqrt[n/2]}, While[k > m && !IntegerQ[Sqrt[n^2 - k^2]], k-- ]; If[k <= m, 0, k]]; Table[ f[n], {n, 90}] (* Robert G. Wilson v, Jun 21 2005 *)

CROSSREFS

Cf. A083025, A046083, A046084, A009000, A009003, A108707.

A046080 gives the number of Pythagorean triangles with hypotenuse n.

Sequence in context: A287287 A323519 A276580 * A290322 A274948 A005925

Adjacent sequences:  A108705 A108706 A108707 * A108709 A108710 A108711

KEYWORD

nonn

AUTHOR

S├ębastien Dumortier, Jun 20 2005

EXTENSIONS

More terms from Robert G. Wilson v, Jun 21 2005

STATUS

approved

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Last modified November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)