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A091510 Number of nonisomorphic algebras with a ternary operation (3-d groupoids) with n elements. +0
3
1, 1, 136, 1270933717887, 14178431955039102651224805804387336192, 19591572513704791799478942287037427963655716808579364910828644498251439742675781\ 250000 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = sum {1*s_1+2*s_2+...=n} (fix A[s_1, s_2, ...]/(1^s_1*s_1!*2^s_2*s_2!*...)) where fix A[s_1, s_2, ...] = prod {i, j, k>=1} ( (sum {d|lcm(i, j, k)} (d*s_d))^(s_i*s_j*s_k*lcm(i, j, k)/(i*j*k)))

a(n) asymptotic to n^(n^3)/n!

CROSSREFS

Cf. A001329, A001331, A091511.

Sequence in context: A035819 A157880 A001330 this_sequence A134885 A082726 A138358

Adjacent sequences: A091507 A091508 A091509 this_sequence A091511 A091512 A091513

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Jan 16 2004

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Last modified November 22 15:28 EST 2009. Contains 167310 sequences.


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