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Revision History for A122455

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Showing entries 1-10 | older changes

A122455

a(n) = Sum_{k=0..n} C(n,k)*S2(n,k). Binomial convolution of the Stirling numbers of the 2nd kind. Also sum of the rows of A122454.
(history; published version)

#37 by Michael De Vlieger at Wed Dec 28 09:02:16 EST 2022

STATUS

reviewed

approved

#36 by Joerg Arndt at Wed Dec 28 02:31:33 EST 2022

STATUS

proposed

reviewed

#35 by Michel Marcus at Wed Dec 28 02:24:49 EST 2022

STATUS

editing

proposed

#34 by Michel Marcus at Wed Dec 28 02:24:45 EST 2022

CROSSREFS

Cf. A090683.

STATUS

approved

editing

#33 by Michel Marcus at Wed Dec 28 02:24:14 EST 2022

STATUS

reviewed

approved

#32 by Joerg Arndt at Wed Dec 28 02:06:52 EST 2022

STATUS

proposed

reviewed

#31 by Geoffrey Critzer at Tue Dec 27 15:39:38 EST 2022

STATUS

editing

proposed

#30 by Geoffrey Critzer at Tue Dec 27 15:38:46 EST 2022

REFERENCES

O. Ganyushkin and V. Mazorchuk, Classical Finite Transformation Semigroups, Springer, 2009, pages 58-62.

#29 by Geoffrey Critzer at Tue Dec 27 15:34:17 EST 2022

COMMENTS

Number of Green's H-classes in the full transformation semigroup on [n]. Row sums of A090683. - Geoffrey Critzer, Dec 27 2022

LINKS

Wikipedia, <a href="http://en.wikipedia.org/wiki/Green's_relations">Green's relations</a>

Wikipedia, <a href="http://en.wikipedia.org/wiki/Transformation_semigroup">Transformation semigroup</a>

STATUS

approved

editing

#28 by Charles R Greathouse IV at Thu Sep 08 08:45:28 EDT 2022

PROG

(MAGMAMagma) [(&+[Binomial(n, k)*StirlingSecond(n, k): k in [0..n]]): n in [0..20]]; // G. C. Greubel, Feb 07 2019

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944