A017366 a(n) = (10*n + 8)^2.

64, 324, 784, 1444, 2304, 3364, 4624, 6084, 7744, 9604, 11664, 13924, 16384, 19044, 21904, 24964, 28224, 31684, 35344, 39204, 43264, 47524, 51984, 56644, 61504, 66564, 71824, 77284, 82944, 88804, 94864, 101124, 107584, 114244, 121104, 128164, 135424, 142884

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

a(n) = 4*A016898(n). - Michel Marcus, Aug 26 2015

From Elmo R. Oliveira, Sep 10 2025: (Start)

G.f.: 4*(16 + 33*x + x^2)/(1 - x)^3.

E.g.f.: 4*exp(x)*(16 + 65*x + 25*x^2).

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3).

a(n) = A017365(n)^2 = A016886(2*n+1). (End)

Mathematica

(10 Range[0, 30]+8)^2 (* Harvey P. Dale, Dec 17 2016 *)
(* Alternative: *)
LinearRecurrence[{3, -3, 1}, {64, 324, 784}, 30] (* Harvey P. Dale, Dec 17 2016 *)

Prog

(Magma) [(10*n+8)^2: n in [0..40]]; // Vincenzo Librandi, Aug 31 2011
(PARI) a(n) = (10*n+8)^2; \\ Michel Marcus, Aug 26 2015

Crossrefs

Second bisection of A016886.

Cf. A016898, A017365.

Sequence in context: A221686 A211258 A252080 * A186441 A297642 A061102

Adjacent sequences: A017363 A017364 A017365 * A017367 A017368 A017369

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved