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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
OFFSET
0,1
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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved