|
Search: id:A074361
|
|
|
| A074361 |
|
Coefficient of q^1 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)=(3,1). |
|
+0
6
|
|
| 0, 0, 0, 3, 19, 93, 407, 1674, 6618, 25455, 95953, 356151, 1305887, 4741092, 17072484, 61055787, 217074895, 767882865, 2704365719, 9487509102, 33170122494, 115614094071, 401864286637, 1393378817259, 4820368210175
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
Coefficient of q^0 is A006190(n+1).
|
|
REFERENCES
|
Paper in progress by Y. Kelly Itakura, to appear.
|
|
LINKS
|
M. Beattie, S. D\u{a}sc\u{a}lescu and S. Raianu, Lifting of Nichols Algebras of Type $B_2$
|
|
FORMULA
|
G.f.: (x^4+3x^3)/(1-3x-x^2)^2.
|
|
EXAMPLE
|
The first 6 nu polynomials are nu(0)=1, nu(1)=3, nu(2)=10, nu(3)=33+3q, nu(4)=109+19q+10q^2, nu(5)=360+93q+66q^2+36q^3+3q^4, so the coefficients of q^1 are 0,0,0,3,19,93.
|
|
CROSSREFS
|
Coefficient of q^0, q^2 and q^3 are in A006190, A074362 and A074363. Related sequences with other values of b and lambda are in A074082-A074089, A074352-A074360.
Sequence in context: A015528 A050863 A049153 this_sequence A126187 A047029 A095120
Adjacent sequences: A074358 A074359 A074360 this_sequence A074362 A074363 A074364
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Y. Kelly Itakura (yitkr(AT)mta.ca), Aug 21 2002
|
|
EXTENSIONS
|
More terms from Brent Lehman (mailbjl(AT)yahoo.com), Aug 25 2002
|
|
|
Search completed in 0.002 seconds
|
