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Search: id:A091571
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| A091571 |
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Poincare series of the preprojective algebra of an extended Dynkin diagram of type E_8. |
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+0
7
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| 9, 16, 23, 30, 37, 44, 53, 60, 67, 74, 83, 90, 99, 106, 113, 118, 127, 134, 143, 150, 159, 164, 173, 180, 189, 194, 203, 208, 217, 224, 235, 240, 249, 254, 263, 268, 279, 284, 293, 298, 309, 314, 325, 330, 339, 342, 353, 358, 369, 374, 385, 388, 399, 404, 415
(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)=7*(n+1)+2*A087866(n). G.f.=(7/(1-x)^2)+2*(1-x^15)/((1-x^6)*(1-x^10)*(1-x)).
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CROSSREFS
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Cf. A087866, A091572, A091573, A091574, A091575, A091576, A091577.
Sequence in context: A134256 A046463 A003332 this_sequence A102219 A076093 A085585
Adjacent sequences: A091568 A091569 A091570 this_sequence A091572 A091573 A091574
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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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