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A017446
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a(n) = (11*n + 4)^10.
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12
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1048576, 576650390625, 141167095653376, 4808584372417849, 64925062108545024, 511116753300641401, 2824752490000000000, 12157665459056928801, 43438845422363213824, 134391637934412192049
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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G.f.: (1048576 +576638856289*x +134823999028181*x^2 +3287461918700048*x^3 +19699677304461320*x^4 +38310933951284930*x^5 +26248927783563266*x^6 + 6054309522746024*x^7 +381447629946032*x^8 +3567359998885*x^9 +282475249* x^10)/(1-x)^11.
E.g.f.: (1048576 +576649342049*x +70006897960351*x^2 +731135505930170*x^3 +1938975858011665*x^4 +1943070823137213*x^5 +885930917929827*x^6 + 200558066497800*x^7 +23002851520110*x^8 +1261502014685*x^9 +25937424601* x^10)*exp(x). (End)
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MAPLE
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MATHEMATICA
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PROG
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(Magma) [(11*n+4)^10: n in [0..20]]; // G. C. Greubel, Sep 18 2019
(Sage) [(11*n+4)^10 for n in (0..20)] # G. C. Greubel, Sep 18 2019
(GAP) List([0..20], n-> (11*n+4)^10); # 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), A017441 (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), this sequence (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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