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

Author

Vincenzo Librandi, Oct 04 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 5..3000
• Index entries for linear recurrences with constant coefficients, signature (4, -4).

Crossrefs

Cf. A045623, A078836.

Programs

Magma

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

Mathematica

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

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)