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A017464
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a(n) = (11*n + 6)^4.
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12
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1296, 83521, 614656, 2313441, 6250000, 13845841, 26873856, 47458321, 78074896, 121550625, 181063936, 260144641, 362673936, 492884401, 655360000, 855036081, 1097199376, 1387488001, 1731891456, 2136750625, 2608757776, 3154956561, 3782742016, 4499860561, 5314410000
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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.: (1296 +77041*x +210011*x^2 +62411*x^3 +625*x^4)/(1-x)^5.
E.g.f.: (1296 +82225*x +224455*x^2 +119790*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}, {1296, 83521, 614656, 2313441, 6250000}, 30] (* Harvey P. Dale, Oct 11 2021 *)
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PROG
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(Sage) [(11*n+5)^4 for n in (0..30)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..30], n-> (11*n+6)^4); # G. C. Greubel, Sep 19 2019
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CROSSREFS
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Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), this sequence (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (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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