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Essentially n-ary operations in a certain 3-element algebra.
(Formerly M1995)
0

%I M1995 #13 Nov 07 2017 18:23:32

%S 2,10,3866,297538923922,675089708540070294583609203589639922,

%T 202089899117162771494026986677587201812698520846319037282893739002965043831824039051995734327796615178840634970

%N Essentially n-ary operations in a certain 3-element algebra.

%D J. Berman, ``Free spectra of 3-element algebras,'' in R. S. Freese and O. C. Garcia, editors, Universal Algebra and Lattice Theory (Puebla, 1982), Lect. Notes Math. Vol. 1004, 1983.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H J. Berman, <a href="/A007153/a007153.pdf">Free spectra of 3-element algebras</a>, R. S. Freese and O. C. Garcia, editors, Universal Algebra and Lattice Theory (Puebla, 1982), Lect. Notes Math. Vol. 1004, 1983. (Annotated scanned copy)

%F a(n) = Sum_{i=0..n} (-1)^(n-i) * binomial(n, i) * A007155(i). - _Sean A. Irvine_, Nov 05 2017

%Y Cf. A007155.

%K nonn

%O 0,1

%A _N. J. A. Sloane_.

%E a(5) from _Sean A. Irvine_, Nov 05 2017