A016950 a(n) = (6*n + 3)^6.

729, 531441, 11390625, 85766121, 387420489, 1291467969, 3518743761, 8303765625, 17596287801, 34296447249, 62523502209, 107918163081, 177978515625, 282429536481, 433626201009, 646990183449, 941480149401, 1340095640625, 1870414552161, 2565164201769, 3462825991689

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

From Amiram Eldar, Mar 30 2022: (Start)

a(n) = A016945(n)^6 = A016946(n)^3 = A016947(n)^2.

a(n) = 3^6*A016758(n).

Sum_{n>=0} 1/a(n) = Pi^6/699840. (End)

Mathematica

(3 + 6Range[0, 20])^6 (* Harvey P. Dale, Jan 31 2011 *)

Prog

(Magma) [(6*n+3)^6: n in [0..40]]; // Vincenzo Librandi, May 05 2011

Crossrefs

Cf. A016758, A016945, A016946, A016947, A016948, A016949.

Subsequence of A001014.

Sequence in context: A222443 A223330 A228976 * A223793 A223979 A223574

Adjacent sequences: A016947 A016948 A016949 * A016951 A016952 A016953

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved