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 A016745 a(n) = (2*n)^5. 1
 0, 32, 1024, 7776, 32768, 100000, 248832, 537824, 1048576, 1889568, 3200000, 5153632, 7962624, 11881376, 17210368, 24300000, 33554432, 45435424, 60466176, 79235168, 102400000, 130691232, 164916224, 205962976, 254803968, 312500000, 380204032, 459165024, 550731776 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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 G.f.: 32*x*(1 + 26*x + 66*x^2 + 26*x^3 + x^4)/(1-x)^6. - Colin Barker, Sep 17 2012 E.g.f.: 32*x*(1 + 15*x + 25*x^2 + 10*x^3 + x^4)*exp(x). - G. C. Greubel, Sep 15 2018 From Amiram Eldar, Oct 10 2020: (Start) Sum_{n>=1} 1/a(n) = zeta(5)/32. Sum_{n>=1} (-1)^(n+1)/a(n) = 15*zeta(5)/512. (End) MAPLE A016745:=n->(2*n)^5: seq(A016745(n), n=0..50); # Wesley Ivan Hurt, Sep 15 2018 MATHEMATICA Table[(2*n)^5, {n, 0, 30}] (* G. C. Greubel, Sep 15 2018 *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 32, 1024, 7776, 32768, 100000}, 30] (* Harvey P. Dale, Sep 15 2019 *) PROG (MAGMA) [(2*n)^5: n in [0..30]]; // Vincenzo Librandi, Sep 05 2011 (PARI) vector(30, n, n--; (2*n)^5) \\ G. C. Greubel, Sep 15 2018 CROSSREFS Cf. A016757. Sequence in context: A158617 A171337 A029548 * A189267 A223672 A189620 Adjacent sequences:  A016742 A016743 A016744 * A016746 A016747 A016748 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified April 20 05:31 EDT 2021. Contains 343121 sequences. (Running on oeis4.)