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A274294
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a(n) = 1+(n+1)^2+n!+Sum_{k=1..n-1} binomial(n,k)*n!/(n-k)!.
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1
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3, 6, 16, 50, 234, 1582, 13376, 130986, 1441810, 17572214, 234662352, 3405357826, 53334454586, 896324308830, 16083557845504, 306827170866362, 6199668952527906, 132240988644216166, 2968971263911289360, 69974827707903049554, 1727194482044146637962
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OFFSET
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0,1
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COMMENTS
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Number of residuated maps on the lattice M_n.
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LINKS
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Table of n, a(n) for n=0..20.
Erika D. Foreman, Order automorphisms on the lattice of residuated maps of some special nondistributive lattices, (2015). Univ. Louisville, Electronic Theses and Dissertations. Paper 2257.
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FORMULA
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a(n) = (n+1)^2 +n! + A070779(n-1), n>=1. - R. J. Mathar, Jul 16 2020
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MAPLE
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f:=n->1+(n+1)^2+n!+add(binomial(n, k)*n!/(n-k)!, k=1..n-1);
[seq(f(n), n=0..20)];
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CROSSREFS
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Cf. A317094.
Sequence in context: A007002 A305136 A300355 * A201969 A340498 A288850
Adjacent sequences: A274291 A274292 A274293 * A274295 A274296 A274297
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Jun 18 2016
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STATUS
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approved
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