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A016880
a(n) = (5*n+2)^8.
1
256, 5764801, 429981696, 6975757441, 54875873536, 282429536481, 1099511627776, 3512479453921, 9682651996416, 23811286661761, 53459728531456, 111429157112001, 218340105584896, 406067677556641, 722204136308736, 1235736291547681, 2044140858654976, 3282116715437121
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
a(0)=256, a(1)=5764801, a(2)=429981696, a(3)=6975757441, a(4)=54875873536, a(5)=282429536481, a(6)=1099511627776, a(7)=3512479453921, a(8)=9682651996416; for n>8, a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9). - Harvey P. Dale, Feb 11 2015
a(n) = A001016(A016873(n)). - Michel Marcus, Feb 17 2017
MAPLE
A016880:=n->(5*n+2)^8: seq(A016880(n), n=0..30); # Wesley Ivan Hurt, Feb 16 2017
MATHEMATICA
(5*Range[0, 20]+2)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {256, 5764801, 429981696, 6975757441, 54875873536, 282429536481, 1099511627776, 3512479453921, 9682651996416}, 20] (* Harvey P. Dale, Feb 11 2015 *)
Table[(5 n + 2)^8, {n, 0, 30}] (* Vincenzo Librandi, Feb 18 2017 *)
PROG
(Magma) [(5*n+2)^8: n in [0..20]]; // Vincenzo Librandi, Feb 18 2017
CROSSREFS
KEYWORD
nonn,easy
EXTENSIONS
More terms from Vincenzo Librandi, Feb 18 2017
STATUS
approved