A016905 a(n) = (5*n + 4)^9.

262144, 387420489, 20661046784, 322687697779, 2641807540224, 14507145975869, 60716992766464, 208728361158759, 618121839509504, 1628413597910449, 3904305912313344, 8662995818654939, 18014398509481984

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Programs

Magma

[(5*n+4)^9: n in [0..30]]; // Vincenzo Librandi, May 03 2011

Mathematica

(5 Range[0, 20] + 4)^9 (* Wesley Ivan Hurt, Jun 09 2023 *)
LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{262144,387420489,20661046784,322687697779,2641807540224,14507145975869,60716992766464,208728361158759,618121839509504,1628413597910449},20] (* Harvey P. Dale, Feb 11 2025 *)

Formula

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). - Wesley Ivan Hurt, Jun 09 2023