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Search: id:A124614
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| A124614 |
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Poincare series P(C_{6,2}; x). |
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+0
1
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| 1, 2, 6, 14, 34, 74, 166, 342, 716, 1442, 2898, 5686, 11122, 21366, 40842, 77098, 144581, 268376, 494812, 904056, 1640304, 2951812, 5274356, 9351868, 16465309, 28776074, 49943314, 86067486, 147313950, 250422502, 422885538, 709413626, 1182445150, 1958355754
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Dragomir Z. Djokovic, Poincare series of some pure and mixed trace algebras of two generic matrices. See Table 3.
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FORMULA
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G.f.: f/g where
f = x^70-3*x^69+3*x^68-3*x^67+3*x^66+4*x^65-2*x^64-8*x^62-8*x^61+11*x^60+x^59+56*x^58-24*x^57+48*x^56-69*x^55-
9*x^54+2*x^53+78*x^52+118*x^51+223*x^50+23*x^49+158*x^48-182*x^47+221*x^46-42*x^45+600*x^44+365*x^43+633*x^42+
324*x^41+303*x^40-31*x^39+484*x^38+178*x^37+1055*x^36+518*x^35+1055*x^34+178*x^33+484*x^32-31*x^31+303*x^30+
324*x^29+633*x^28+365*x^27+600*x^26-42*x^25+221*x^24-182*x^23+158*x^22+23*x^21+223*x^20+118*x^19+78*x^18+2*x^17-
9*x^16-69*x^15+48*x^14-24*x^13+56*x^12+x^11+11*x^10-8*x^9-8*x^8-2*x^6+4*x^5+3*x^4-3*x^3+3*x^2-3*x+1,
g = (1-x)^5*(1-x^2)^3*(1-x^3)^6*(1-x^4)^9*(1-x^5)^7*(1-x^6)^7.
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CROSSREFS
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Sequence in context: A005380 A124612 A124613 this_sequence A070933 A059570 A018016
Adjacent sequences: A124611 A124612 A124613 this_sequence A124615 A124616 A124617
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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), Dec 21 2006
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