|
Search: id:A135936
|
|
|
| A135936 |
|
Irregular triangle read by rows: row n gives coefficients of Boubaker polynomial B_n(x) in order of decreasing exponents (another version). |
|
+0
4
|
|
| 1, 1, 1, 2, 1, 1, 1, 0, -2, 1, -1, -3, 1, -2, -3, 2, 1, -3, -2, 5, 1, -4, 0, 8, -2, 1, -5, 3, 10, -7, 1, -6, 7, 10, -15, 2, 1, -7, 12, 7, -25, 9, 1, -8, 18, 0, -35, 24, -2, 1, -9, 25, -12, -42, 49, -11, 1, -10, 33, -30, -42, 84, -35, 2, 1, -11, 42, -55, -30, 126, -84, 13, 1, -12, 52, -88, 0, 168, -168, 48, -2, 1, -13, 63, -130, 55, 198, -294
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
See A135929 and A138034 for further information.
|
|
LINKS
|
R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 11 2008, Table of n, a(n) for n = 0..160
|
|
EXAMPLE
|
The Boubaker polynomials B_0(x), B_1(x), B_2(x), ... are:
1
x
x^2+2
x^3+x
x^4-2
x^5-x^3-3*x
x^6-2*x^4-3*x^2+2
x^7-3*x^5-2*x^3+5*x
x^8-4*x^6+8*x^2-2
x^9-5*x^7+3*x^5+10*x^3-7*x
...
|
|
MAPLE
|
A135936 := proc(n, m) coeftayl( coeftayl( (1+3*t^2)/(1-x*t+t^2), t=0, n), x=0, m) ; end: for n from 0 to 25 do for m from n to 0 by -2 do printf("%d, ", A135936(n, m)) ; od; od; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 11 2008
|
|
CROSSREFS
|
Cf. A138034.
Sequence in context: A090340 A117162 A146061 this_sequence A109707 A064272 A117479
Adjacent sequences: A135933 A135934 A135935 this_sequence A135937 A135938 A135939
|
|
KEYWORD
|
sign,tabf
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Mar 09 2008
|
|
EXTENSIONS
|
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 11 2008
|
|
|
Search completed in 0.002 seconds
|
