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Search: id:A008732
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| A008732 |
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Molien series for 3-dimensional group [2,n] = *22n. |
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+0
3
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| 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 30, 34, 38, 42, 46, 50, 55, 60, 65, 70, 75, 81, 87, 93, 99, 105, 112, 119, 126, 133, 140, 148, 156, 164, 172, 180, 189, 198, 207, 216, 225, 235, 245, 255, 265
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Brian OSullivan and Thomas Busch, Spontaneous emission in ultra-cold spin-polarised anisotropic Fermi seas, arXiv 0810.0231v1 [quant-ph], 2008. [Eq 8a, lambda=5]
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LINKS
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INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 188
Index entries for Molien series
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FORMULA
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[ n(n-1)/10 ].
G.f.: 1/((1-x)^2*(1-x^5)).
a(n)=a(n-5)+n+1. - Paul Barry (pbarry(AT)wit.ie), Jul 14 2004
a(n) = sum(floor(j/5), {j,0,n+5}), a(n-5) = (1/2)floor(n/5)*(2n-3-5*floor(n/5)) [From Mitch Harris (maharri(AT)gmail.com), Sep 08 2008]
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MAPLE
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1/((1-x)^2*(1-x^5));
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CROSSREFS
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Sequence in context: A024926 A051532 A135785 this_sequence A130520 A005706 A064175
Adjacent sequences: A008729 A008730 A008731 this_sequence A008733 A008734 A008735
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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