A017571 a(n) = (12n+4)^3.

64, 4096, 21952, 64000, 140608, 262144, 438976, 681472, 1000000, 1404928, 1906624, 2515456, 3241792, 4096000, 5088448, 6229504, 7529536, 8998912, 10648000, 12487168, 14526784, 16777216, 19248832, 21952000, 24897088, 28094464, 31554496, 35287552, 39304000, 43614208

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Cf. A000578, A002117, A016779, A017569.

Programs

Mathematica

a[n_] := (12*n+4)^3; Array[a, 30, 0] (* Amiram Eldar, Jul 14 2024 *)
LinearRecurrence[{4,-6,4,-1},{64,4096,21952,64000},30] (* Harvey P. Dale, Sep 06 2024 *)

Formula

From Amiram Eldar, Jul 14 2024: (Start)

a(n) = A000578(A017569(n)) = A017569(n)^3.

a(n) = 64 * A016779(n).

Sum_{n>=0} 1/a(n) = Pi^3/(2592*sqrt(3)) + 13*zeta(3)/1728. (End)

Extensions

More terms from Amiram Eldar, Jul 14 2024