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A017452
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a(n) = (11*n + 5)^4.
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12
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625, 65536, 531441, 2085136, 5764801, 12960000, 25411681, 45212176, 74805201, 116985856, 174900625, 252047376, 352275361, 479785216, 639128961, 835210000, 1073283121, 1358954496, 1698181681, 2097273616, 2562890625, 3102044416, 3722098081, 4430766096, 5236114321, 6146560000
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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.: (625 +62411*x +210011*x^2 +77041*x^3 +1296*x^4)/(1-x)^5.
E.g.f.: (625 +64911*x +200497*x^2 +114466*x^3 +14641*x^4)*exp(x). (End)
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MAPLE
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {625, 65536, 531441, 2085136, 5764801}, 30] (* Harvey P. Dale, Nov 29 2022 *)
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PROG
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(Sage) [(11*n+5)^4 for n in (0..30)] # G. C. Greubel, Sep 18 2019
(GAP) List([0..30], n-> (11*n+5)^4); # G. C. Greubel, Sep 18 2019
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CROSSREFS
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Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), this sequence (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (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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