A016964 a(n) = (6*n + 4)^8.

65536, 100000000, 4294967296, 54875873536, 377801998336, 1785793904896, 6553600000000, 20047612231936, 53459728531456, 128063081718016, 281474976710656, 576480100000000, 1113034787454976, 2044140858654976, 3596345248055296, 6095689385410816, 10000000000000000

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Cf. A016796, A016957, A016958, A016959, A016960, A016961, A016962, A016963.

Subsequence of A001016.

Programs

Magma

[(6*n+4)^8: n in [0..20]]; // Vincenzo Librandi, May 07 2011

Mathematica

(6*Range[0,20]+4)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{65536,100000000,4294967296,54875873536,377801998336,1785793904896,6553600000000,20047612231936,53459728531456},20] (* Harvey P. Dale, Dec 26 2018 *)

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016957(n)^8 = A016958(n)^4 = A016960(n)^2.

a(n) = 2^8*A016796(n).

Sum_{n>=0} 1/a(n) = PolyGamma(7, 2/3)/8465264640. (End)