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A017597 (12n+6)^5. 1
7776, 1889568, 24300000, 130691232, 459165024, 1252332576, 2887174368, 5904900000, 11040808032, 19254145824, 31757969376, 50049003168, 75937500000, 111577100832, 159494694624, 222620278176, 304316815968 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

G.f.: 7776*(x+1)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6. [Colin Barker, Sep 20 2012]

MATHEMATICA

(12 Range[0, 20] + 6)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {7776, 1889568, 24300000, 130691232, 459165024, 1252332576}, 50] (* Harvey P. Dale, Jan 03 2013 *)

CoefficientList[Series[7776 (x + 1) (x^4 + 236 x^3 + 1446 x^2 + 236 x + 1)/(x - 1)^6, {x, 0, 20}], x] (* Vincenzo Librandi, Oct 16 2013 *)

PROG

(MAGMA) [(12*n+6)^5: n in [0..20]]; // Vincenzo Librandi, Oct 16 2013

CROSSREFS

Sequence in context: A223274 A017345 A017465 * A223361 A222339 A043520

Adjacent sequences:  A017594 A017595 A017596 * A017598 A017599 A017600

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 21 02:02 EDT 2019. Contains 325189 sequences. (Running on oeis4.)