A017057 a(n) = (7*n + 6)^5.

7776, 371293, 3200000, 14348907, 45435424, 115856201, 254803968, 503284375, 916132832, 1564031349, 2535525376, 3939040643, 5904900000, 8587340257, 12166529024, 16850581551, 22877577568, 30517578125

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A017053 (7*n+6).

Programs

Magma

[(7*n+6)^5: n in [0..40]]; // Vincenzo Librandi, Jul 10 2011

Mathematica

(7*Range[0,20]+6)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{7776,371293,3200000,14348907,45435424,115856201},20] (* Harvey P. Dale, Dec 20 2016 *)

Formula

G.f.: (x^5 + 32762*x^4 + 562782*x^3 + 1088882*x^2 + 324637*x + 7776)/(x-1)^6. [Colin Barker, Sep 17 2012]