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

0,1

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).

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]

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 *)

Prog

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

Crossrefs

Cf. A017053 (7*n+6).

Sequence in context: A016865 A223561 A016913 * A183619 A017141 A017237

Adjacent sequences: A017054 A017055 A017056 * A017058 A017059 A017060

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved