A017570 a(n) = (12*n + 4)^2.

16, 256, 784, 1600, 2704, 4096, 5776, 7744, 10000, 12544, 15376, 18496, 21904, 25600, 29584, 33856, 38416, 43264, 48400, 53824, 59536, 65536, 71824, 78400, 85264, 92416, 99856, 107584, 115600, 123904, 132496, 141376, 150544, 160000, 169744, 179776, 190096, 200704, 211600

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

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

Formula

G.f.: 16*(1 + 13*x + 4*x^2)/(1-x)^3.

a(n) = 16*A016778(n).

a(n) = a(n-1) + 288*n - 48, n >= 1. - Vincenzo Librandi, Mar 20 2011

Mathematica

(12*Range[0, 50] + 4)^2 (* Paolo Xausa, Dec 19 2025 *)

Prog

(PARI) a(n)=(12*n+4)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Sequence in context: A207848 A208837 A208685 * A208121 A207371 A208016

Adjacent sequences: A017567 A017568 A017569 * A017571 A017572 A017573

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved