|
| |
|
|
A098302
|
|
Member r=17 of the family of Chebyshev sequences S_r(n) defined in A092184.
|
|
0
| |
|
|
0, 1, 17, 256, 3825, 57121, 852992, 12737761, 190213425, 2840463616, 42416740817, 633410648641, 9458742988800, 141247734183361, 2109257269761617, 31497611312240896, 470354912413851825, 7023826074895536481
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
LINKS
| Index entries for sequences related to Chebyshev polynomials.
|
|
|
FORMULA
| a(n)= 2*(T(n, 15/2)-1)/13 with twice the Chebyshev's polynomials of the first kind evaluated at x=15/2: 2*T(n, 15/2)=A078365(n)= ((15+sqrt(221))^n +(15-sqrt(221))^n)/2^n.
a(n)= 15*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1.
a(n)= 16*a(n-1) - 16*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=17.
G.f.: x*(1+x)/((1-x)*(1-15*x+x^2)) = x*(1+x)/(1-16*x+16*x^2-x^3) (from the Stephan link, see A092184).
|
|
|
CROSSREFS
| Sequence in context: A201302 A015675 A029462 * A002590 A090457 A174408
Adjacent sequences: A098299 A098300 A098301 * A098303 A098304 A098305
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 18 2004
|
| |
|
|
