

A349296


First differences of A349295.


3



1, 14, 109, 479, 1570, 4031, 8997, 17948, 32853, 56408, 91776, 143003, 215196, 313732, 444813, 616816, 839685, 1120435, 1472736, 1907995, 2440463, 3086644, 3861599, 4784197, 5878808, 7160841, 8659826, 10399512, 12407231, 14710254, 17351756
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OFFSET

1,2


COMMENTS

a(n) is the number of ordered 6tuples (a_1,a_2,a_3,a_4,a_5,a_6) having all terms in {1,...,n}, with at least one element equal to n, such that there exists a tetrahedron ABCD with those edgelengths, taken in a particular order (see comments in A349295).
Conjecture: for n tending to infinity the ratio from a(n) and the corresponding a(n) in A097125 tends to 24 as the probability that all a_i's are different tends to 1 and there are 24 6tuples corresponding to the same tetrahedron if all a_i's are different. For n=254 the ratio is 23.9936919.


LINKS



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



