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Search: id:A007405
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| A007405 |
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Dowling numbers: binomial transform of A004211.
(Formerly M1674)
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+0
5
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| 1, 2, 6, 24, 116, 648, 4088, 28640, 219920, 1832224, 16430176, 157554048, 1606879040, 17350255744, 197553645440, 2363935624704, 29638547505408, 388328781668864, 5304452565517824, 75381218537805824
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Equals leftmost term in iterates of M^n * [1,1,1,...], where M = a bidiagonal matrix with (1,3,5,7,...) in the main diagonal and (1,1,1,...) in the superdiagonal. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 13 2009]
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Benoumhani, Moussa; On Whitney numbers of Dowling lattices. Discrete Math. 159 (1996), no. 1-3, 13-33.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
N. J. A. Sloane, Transforms
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FORMULA
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E.g.f.: exp(z + 1/2 exp(2 z) - 1/2).
Row sums of triangles A039755, A039756 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 20 2005
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CROSSREFS
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Sequence in context: A069657 A082631 A097483 this_sequence A164871 A079106 A088713
Adjacent sequences: A007402 A007403 A007404 this_sequence A007406 A007407 A007408
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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