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

0,1

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).

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)

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 *)

Prog

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

Crossrefs

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

Subsequence of A001016.

Sequence in context: A276108 A030635 A236224 * A017036 A017120 A017216

Adjacent sequences: A016961 A016962 A016963 * A016965 A016966 A016967

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved