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 A017477 a(n) = (11*n + 7)^5. 12
 16807, 1889568, 20511149, 102400000, 345025251, 916132832, 2073071593, 4182119424, 7737809375, 13382255776, 21924480357, 34359738368, 51888844699, 75937500000, 108175616801, 150536645632, 205236901143 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1). FORMULA a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6), with a(0) = 16807, a(1) = 1889568, a(2) = 20511149, a(3) = 102400000, a(4) = 345025251, a(5) = 916132832. - Harvey P. Dale, Jan 16 2013 From G. C. Greubel, Sep 19 2019: (Start) G.f.: (16807 +1788726*x +9425846*x^2 +7340486*x^3 +753231*x^4 +1024*x^5 )/(1-x)^6. E.g.f.: (16807 +1872761*x +8374410*x^2 +7753075*x^3 +2122945*x^4 +161051 *x^5)*exp(x). (End) MAPLE seq((11*n+7)^5, n=0..30); # G. C. Greubel, Sep 19 2019 MATHEMATICA (11 * Range[0, 30] + 7)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {16807, 1889568, 20511149, 102400000, 345025251, 916132832}, 30] (* Harvey P. Dale, Jan 16 2013 *) PROG (Magma) [(11*n+7)^5: n in [0..30]]; // Vincenzo Librandi, Sep 04 2011 (PARI) vector(30, n, (11*n-4)^5) \\ G. C. Greubel, Sep 19 2019 (Sage) [(11*n+7)^5 for n in (0..30)] # G. C. Greubel, Sep 19 2019 (GAP) List([0..30], n-> (11*n+7)^5); # G. C. Greubel, Sep 19 2019 CROSSREFS Powers of the form (11*n+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), this sequence (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12). Sequence in context: A265479 A017249 A017357 * A017609 A096550 A184466 Adjacent sequences: A017474 A017475 A017476 * A017478 A017479 A017480 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified July 19 05:20 EDT 2024. Contains 374388 sequences. (Running on oeis4.)