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A017057 a(n) = (7*n + 6)^5. 1
7776, 371293, 3200000, 14348907, 45435424, 115856201, 254803968, 503284375, 916132832, 1564031349, 2535525376, 3939040643, 5904900000, 8587340257, 12166529024, 16850581551, 22877577568, 30517578125 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 24 16:39 EDT 2019. Contains 326295 sequences. (Running on oeis4.)