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A070094 Number of acute integer triangles with perimeter n and relatively prime side lengths. 8
0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 2, 5, 2, 5, 3, 3, 4, 6, 3, 6, 4, 7, 6, 10, 4, 10, 7, 8, 7, 10, 7, 14, 8, 12, 8, 17, 10, 17, 12, 13, 14, 20, 12, 21, 14, 18, 16, 25, 15, 23, 18, 22, 20, 30, 16, 32, 21, 29, 23, 32, 21, 38, 27, 33, 26, 43, 25 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,11

COMMENTS

a(n) = A051493(n) - A070102(n) - A070109(n).

LINKS

Table of n, a(n) for n=1..72.

R. Zumkeller, Integer-sided triangles

EXAMPLE

For n=10 there are A005044(10) = 2 integer triangles: [2,4,4] and [3,3,4]; both are acute, but GCD(2,4,4)>1, therefore a(9) = 1.

CROSSREFS

Cf. A070080, A070081, A070082, A070093, A070096, A070099, A070084, A070119.

Sequence in context: A101691 A205379 A238881 * A275875 A105497 A255809

Adjacent sequences:  A070091 A070092 A070093 * A070095 A070096 A070097

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 05 2002

STATUS

approved

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Last modified February 21 10:49 EST 2019. Contains 320372 sequences. (Running on oeis4.)