A196410 a(n) = n*2^(n-5).

5, 12, 28, 64, 144, 320, 704, 1536, 3328, 7168, 15360, 32768, 69632, 147456, 311296, 655360, 1376256, 2883584, 6029312, 12582912, 26214400, 54525952, 113246208, 234881024, 486539264, 1006632960, 2080374784, 4294967296, 8858370048, 18253611008, 37580963840, 77309411328, 158913789952

Offset

5,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 5..3000

Index entries for linear recurrences with constant coefficients, signature (4,-4).

Formula

G.f.: x^5*(5-8*x)/(2*x-1)^2. - R. J. Mathar, Oct 13 2011

From Amiram Eldar, Jan 12 2021: (Start)

Sum_{n>=5} 1/a(n) = 32*log(2) - 131/6.

Sum_{n>=5} (-1)^(n+1)/a(n) = 32*log(3/2) - 77/6. (End)

E.g.f.: x*(3*(exp(2*x) - 1) - 6*x*(1 + x) - 4*x^3)/48. - Stefano Spezia, Dec 14 2025

Mathematica

Table[n*2^(n-5), {n, 5, 37}] (* Amiram Eldar, Jan 12 2021 *)

Prog

(Magma)  [n*2^(n-5): n in [5..40]];

Crossrefs

Cf. A045623, A078836.

Sequence in context: A038376 A002767 A055245 * A388064 A000465 A283506

Adjacent sequences: A196407 A196408 A196409 * A196411 A196412 A196413

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 04 2011

Status

approved