A017342 a(n) = (10*n + 6)^2.

36, 256, 676, 1296, 2116, 3136, 4356, 5776, 7396, 9216, 11236, 13456, 15876, 18496, 21316, 24336, 27556, 30976, 34596, 38416, 42436, 46656, 51076, 55696, 60516, 65536, 70756, 76176, 81796, 87616, 93636, 99856, 106276, 112896, 119716, 126736, 133956, 141376

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) = A000290(A017341(n)). - Wesley Ivan Hurt, Jan 29 2014

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

G.f.: 4*(9 + x)*(1 + 4*x)/(1 - x)^3.

E.g.f.: 4*exp(x)*(9 + 55*x + 25*x^2).

a(n) = 4*A016886(n) = A017341(n)^2 = A016862(2*n+1).

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

Maple

A017342:=n->(10*n + 6)^2; seq(A017342(n), n=0..35); # Wesley Ivan Hurt, Jan 29 2014

Mathematica

Table[(10 n + 6)^2, {n, 0, 35}] (* Wesley Ivan Hurt, Jan 29 2014 *)
LinearRecurrence[{3, -3, 1}, {36, 256, 676}, 40] (* Harvey P. Dale, Dec 04 2014 *)

Prog

(Magma) [(10*n+6)^2: n in [0..35]]; // Vincenzo Librandi, Aug 03 2011
(PARI) a(n)=(10*n+6)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Second bisection of A016862.

Cf. A000290, A016886, A017341.

Sequence in context: A282099 A247840 A397251 * A341544 A115332 A133072

Adjacent sequences: A017339 A017340 A017341 * A017343 A017344 A017345

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved