A007158 Essentially n-ary operations in a certain 3-element algebra. (Formerly M1995)

2, 10, 3866, 297538923922, 675089708540070294583609203589639922, 202089899117162771494026986677587201812698520846319037282893739002965043831824039051995734327796615178840634970

Offset

0,1

References

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.

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

Links

Table of n, a(n) for n=0..5.

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

Formula

a(n) = Sum_{i=0..n} (-1)^(n-i) * binomial(n, i) * A007155(i). - Sean A. Irvine, Nov 05 2017

Crossrefs

Cf. A007155.

Sequence in context: A000884 A328157 A013557 * A155733 A080485 A125149

Adjacent sequences: A007155 A007156 A007157 * A007159 A007160 A007161

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

a(5) from Sean A. Irvine, Nov 05 2017

Status

approved