A016949 a(n) = (6*n + 3)^5.

243, 59049, 759375, 4084101, 14348907, 39135393, 90224199, 184528125, 345025251, 601692057, 992436543, 1564031349, 2373046875, 3486784401, 4984209207, 6956883693, 9509900499, 12762815625, 16850581551, 21924480357, 28153056843, 35723051649, 44840334375, 55730836701

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

From Amiram Eldar, Mar 30 2022: (Start)

a(n) = A016945(n)^5.

a(n) = 3^5*A016757(n).

Sum_{n>=0} 1/a(n) = 31*zeta(5)/7776.

Sum_{n>=0} (-1)^n/a(n) = 5*Pi^5/373248. (End)

Mathematica

a[n_] := (6*n + 3)^5; Array[a, 50, 0] (* Amiram Eldar, Mar 30 2022 *)

Prog

(Magma) [(6*n+3)^5: n in [0..50]]; // Vincenzo Librandi, May 05 2011

Crossrefs

Cf. A016757, A016945, A016946, A016947, A016948.

Subsequence of A000584.

Sequence in context: A223554 A222442 A228975 * A223792 A223978 A223573

Adjacent sequences: A016946 A016947 A016948 * A016950 A016951 A016952

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved