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Search: id:A091572
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| A091572 |
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Poincare series of the preprojective algebra of an extended Dynkin diagram of type E_7. |
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+0
6
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| 8, 14, 20, 26, 34, 40, 48, 54, 62, 66, 74, 80, 90, 94, 102, 106, 116, 120, 130, 134, 144, 146, 156, 160, 172, 174, 184, 186, 198, 200, 212, 214, 226, 226, 238, 240, 254, 254, 266, 266, 280, 280, 294, 294, 308, 306, 320, 320, 336, 334, 348, 346, 362, 360, 376
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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I, Reiten, Dynkin diagrams and the representation theory of algebras, Notices of the AMS, Vol. 44, No 5.
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FORMULA
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a(n)=6*(n+1)+2*A087504(n) G.f.=(6/(1-x)^2)+2*(1-x^9)/((1-x^4)*(1-x^6)*(1-x))
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CROSSREFS
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Cf. A087504, A091571, A091573, A091574, A091575, A091576, A091577.
Sequence in context: A063288 A136798 A091575 this_sequence A096786 A114527 A108058
Adjacent sequences: A091569 A091570 A091571 this_sequence A091573 A091574 A091575
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Boddington (psb(AT)maths.warwick.ac.uk), Jan 22 2004
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