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A017441
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a(n) = (11*n + 4)^5.
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12
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1024, 759375, 11881376, 69343957, 254803968, 714924299, 1680700000, 3486784401, 6590815232, 11592740743, 19254145824, 30517578125, 46525874176, 68641485507, 98465804768, 137858491849, 188956800000
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: (1024 +753231*x +7340486*x^2 +9425846*x^3 +1788726*x^4 +16807*x^5 )/(1-x)^6.
E.g.f.: (1024 +758351*x +5181825*x^2 +5996155*x^3 +1903330*x^4 +161051*x^5)*exp(x). (End)
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MAPLE
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MATHEMATICA
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(11 Range[0, 20]+4)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1024, 759375, 11881376, 69343957, 254803968, 714924299}, 20] (* Harvey P. Dale, Jan 30 2017 *)
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PROG
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(Magma) [(11*n+4)^5: n in [0..20]]; // G. C. Greubel, Sep 18 2019
(Sage) [(11*n+4)^5 for n in (0..20)] # G. C. Greubel, Sep 18 2019
(GAP) List([0..20], n-> (11*n+4)^5); # G. C. Greubel, Sep 18 2019
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CROSSREFS
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Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), A017440 (m=4), this sequence (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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