|
Search: id:A099854
|
|
| |
|
| 1, 3, 7, 14, 26, 48, 90, 170, 321, 605, 1139, 2144, 4037, 7603, 14319, 26966, 50782, 95632, 180094, 339154, 638697, 1202797, 2265111, 4265664, 8033113, 15127987, 28489079, 53650734, 101035250, 190269936, 358317010, 674783850, 1270755313
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The g.f. is a transformation of the g.f. 1/((1-x)(1-2x-x^2)) of A048739 under the Chebyshev transform G(x)->(1/(1+x^2))G(x/(1+x^2)). The denominator of the g.f. is a parameterisation of the Alexander polynomial of the knot 8_5.
|
|
FORMULA
|
G.f.: (1+x^2)^2/(1-3x+4x^2-5x^3+4x^4-3x^5+x^6); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k*A048739(n-2k)}; a(n)=sum{k=0..n, A099846(n-k)*binomial(2, k/2)(1+(-1)^k)/2}.
|
|
CROSSREFS
|
Sequence in context: A079921 A014168 A132109 this_sequence A054355 A117071 A019459
Adjacent sequences: A099851 A099852 A099853 this_sequence A099855 A099856 A099857
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Oct 27 2004
|
|
|
Search completed in 0.002 seconds
|
