|
|
A168675
|
|
a(n) = n^8*(n + 1)/2.
|
|
1
|
|
|
0, 1, 384, 13122, 163840, 1171875, 5878656, 23059204, 75497472, 215233605, 550000000, 1286153286, 2794881024, 5710115047, 11068417920, 20503125000, 36507222016, 62781816969, 104689625472, 169835630410, 268800000000, 416051452971, 631072545664
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (10,-45, 120,-210,252,-210,120,-45,10,-1).
|
|
FORMULA
|
a(0)=0, a(1)=1, a(2)=384, a(3)=13122, a(4)=163840, a(5)=1171875, a(6)=5878656, a(7)=23059204, a(8)=75497472, a(9)=215233605, a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10).
G.f.: (x*(x*(x*(x*(x*(x*(x*(128*x + 5281) +38454) +78095) +49780) +9327) +374) + 1))/(1 - x)^10. (End)
|
|
MATHEMATICA
|
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1, 384, 13122, 163840, 1171875, 5878656, 23059204, 75497472, 215233605}, 20] (* Vincenzo Librandi, Jul 30 2016 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|