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A074354
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Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,2).
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5
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0, 0, 0, 0, 0, 14, 64, 218, 692, 1982, 5496, 14562, 37692, 95142, 236032, 576074, 1387780, 3304078, 7787656, 18190386, 42151116, 96972534, 221651472, 503650970, 1138286740, 2559944414, 5731095704, 12776843138, 28374100572
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Coefficient of q^0 is A001045(n+1).
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REFERENCES
| Paper in progress by Y. Kelly Itakura, to appear.
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LINKS
| M. Beattie, S. D\u{a}sc\u{a}lescu and S. Raianu, Lifting of Nichols Algebras of Type $B_2$
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EXAMPLE
| The first 6 nu polynomials are nu(0)=1, nu(1)=1, nu(2)=3, nu(3)=5+2q, nu(4)=11+8q+6q^2, nu(5)=21+22q+20q^2+14q^3+4q^4, so the coefficients of q^1 are 0,0,0,0,0,14.
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CROSSREFS
| Coefficients of q^0, q^1 and q^2 are in A001045, A074352 and A074353. Related sequences with other values of b and lambda are in A074082-A074089, A074035-A074363.
Sequence in context: A050492 A050396 A069964 * A124892 A126401 A058092
Adjacent sequences: A074351 A074352 A074353 * A074355 A074356 A074357
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KEYWORD
| nonn
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AUTHOR
| Y. Kelly Itakura (yitkr(AT)mta.ca), Aug 21 2002
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EXTENSIONS
| More terms from Benoit Cloitre, Jan 16, 2003
Corrected by T. D. Noe (noe(AT)sspectra.com), Oct 25 2006
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