A208454 - OEIS

%I #29 Dec 14 2021 00:33:56

%S 1,0,0,1,1,1,3,2,3,6,6,7,12,11,18,21,25,31,38,46,56,66,76,90,117,123,

%T 151,175,196,234,264,297,346,391,448,492,568,630,702,797,884,977,1089,

%U 1217,1338,1469,1624,1771,1970,2146,2343,2579,2782,3042,3322

%N Number of nondegenerate noncongruent tetrahedra with integer edge lengths and total edge length n.

%C a(78) = 12345.

%C Selected values of a(n) up to n=20000 are contained in the East-Hendriksen-Park paper and supplementary website.

%H James East, <a href="/A208454/b208454.txt">Table of n, a(n) for n = 6..3000</a>

%H James East, Michael Hendriksen, and Laurence Park, <a href="https://arxiv.org/abs/2112.00899">On the enumeration of integer tetrahedra</a>, arXiv:2112.00899 [math.CO], 2021.

%H James East, Michael Hendriksen, and Laurence Park, <a href="https://staff.cdms.westernsydney.edu.au/~lapark/integer_tetrahedra/">On the enumeration of integer tetrahedra, supplementary material</a>.

%Y Cf. A097125.

%K nonn

%O 6,7

%A _Philip Benjamin_, Feb 26 2012