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A017506
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a(n) = (11*n + 9)^10.
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12
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3486784401, 10240000000000, 819628286980801, 17080198121677824, 174887470365513049, 1152921504606846976, 5631351470947265625, 22130157888803070976, 73742412689492826049, 215892499727278669824
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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.: (3486784401 + 10201645371589*x + 707180060122856*x^2 + 8626911645462848*x^3 + 30396397449853370*x^4 + 36709149032258330*x^5 + 15541165896383216*x^6 + 2068692379779224*x^7 + 61886937611357*x^8 + 137858480585*x^9 + 1024*x^10)/(1-x)^11.
E.g.f.: (3486784401 + 10236513215599*x + 399575886882601*x^2 + 2442004962325170*x^3 + 4643478795311290*x^4 + 3676175396995563*x^5 + 1399671561315027*x^6 + 274137726759600*x^7 + 27874157090835*x^8 + 1379399399235*x^9 + 25937424601*x^10)*exp(x). (End)
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MAPLE
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MATHEMATICA
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LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {3486784401, 10240000000000, 819628286980801, 17080198121677824, 174887470365513049, 1152921504606846976, 5631351470947265625, 22130157888803070976, 73742412689492826049, 215892499727278669824, 569468379011812486801}, 30] (* Harvey P. Dale, Jul 14 2021 *)
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PROG
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(Magma) [(11*n+9)^10: n in [0..20]]; // G. C. Greubel, Oct 28 2019
(Sage) [(11*n+9)^10 for n in (0..20)] # G. C. Greubel, Oct 28 2019
(GAP) List([0..20], n-> (11*n+9)^10); # G. C. Greubel, Oct 28 2019
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CROSSREFS
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Powers of the form (11*n+9)^m: A017497 (m=1), A017498 (m=2), A017499 (m=3), A017500 (m=4), A017501 (m=5), A017502 (m=6), A017503 (m=7), A017504 (m=8), A017505 (m=9), this sequence (m=10), A017607 (m=11), A017508 (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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