|
|
A249313
|
|
Expansion of x*(1+13*x-12*x^3)/(1-14*x^2+12*x^4).
|
|
4
|
|
|
1, 13, 14, 170, 184, 2224, 2408, 29096, 31504, 380656, 412160, 4980032, 5392192, 65152576, 70544768, 852375680, 922920448, 11151428608, 12074349056, 145891492352, 157965841408, 1908663749632, 2066629591040, 24970594586624, 27037224177664, 326684359217152
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
It seems that this is also the first row of the spectral array W(sqrt(37)-5).
It also seems that, for all k>0, the first row of W(sqrt(k^2+1)-k+1) has a generating function of the form x*(1+(2*k+1)*x-2*k*x^3)/(1-(2*k+2)*x^2+2*k*x^4).
|
|
LINKS
|
|
|
MATHEMATICA
|
CoefficientList[Series[x (1+13x-12x^3)/(1-14x^2+12x^4), {x, 0, 30}], x] (* or *) LinearRecurrence[{0, 14, 0, -12}, {1, 13, 14, 170}, 30] (* Harvey P. Dale, Oct 19 2018 *)
|
|
PROG
|
(PARI) Vec(x*(1+13*x-12*x^3)/(1-14*x^2+12*x^4) + O(x^100))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|