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A017505
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a(n) = (11*n + 9)^9.
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12
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387420489, 512000000000, 26439622160671, 406671383849472, 3299763591802133, 18014398509481984, 75084686279296875, 257327417311663616, 760231058654565217, 1999004627104432128, 4785448563124474679
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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 (10,-45,120,-210,252,-210,120,-45,10,-1).
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FORMULA
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G.f.: (387420489 + 508125795110*x + 21337056082676*x^2 + 165268671784082*x^3 + 361474108840298*x^4 + 251642575443146*x^5 + 52874765679980*x^6 + 2535762569534*x^7 + 10604494253*x^8 + 512*x^9)/(1-x)^10.
E.g.f.: (387420489 + 511612579511*x + 12708004790580*x^2 + 54814688324495* x^3 + 76236174032865*x^4 + 44337148166157*x^5 + 12159505753164*x^6 + 1632362365986*x^7 + 102249186237*x^8 + 2357947691*x^9)*exp(x). (End)
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MAPLE
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MATHEMATICA
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LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {387420489, 512000000000, 26439622160671, 406671383849472, 3299763591802133, 18014398509481984, 75084686279296875, 257327417311663616, 760231058654565217, 1999004627104432128}, 20] (* Harvey P. Dale, Nov 18 2022 *)
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PROG
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(Maxima) makelist((11*n+9)^9, n, 0, 30); /* Martin Ettl, Oct 21 2012 */
(Magma) [(11*n+9)^9: n in [0..20]]; // G. C. Greubel, Oct 28 2019
(Sage) [(11*n+9)^9 for n in (0..20)] # G. C. Greubel, Oct 28 2019
(GAP) List([0..20], n-> (11*n+9)^9); # 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), this sequence (m=9), A017506 (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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