A108100 (2*n-1)^2+(2*n+1)^2.

2, 10, 34, 74, 130, 202, 290, 394, 514, 650, 802, 970, 1154, 1354, 1570, 1802, 2050, 2314, 2594, 2890, 3202, 3530, 3874, 4234, 4610, 5002, 5410, 5834, 6274, 6730, 7202, 7690, 8194, 8714, 9250, 9802, 10370, 10954, 11554, 12170, 12802, 13450, 14114, 14794, 15490

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

O.g.f.: 2*(1+2*x+5*x^2)/(1-x)^3. a(n) = 2*A053755(n). - R. J. Mathar, Aug 24 2008

a(n) = a(-n); a(n)+a(-n) = A158444(n). - Bruno Berselli, Sep 06 2011

a(n) = (A000466(n)+2)*2. - Martin Ettl, Nov 12 2012

Mathematica

Table[8n^2+2, {n, 0, 50}]  (* Harvey P. Dale, Feb 20 2011 *)

Prog

(Magma) [8*n^2+2: n in [0..50]]; // Vincenzo Librandi, Sep 06 2011
(Maxima) makelist(8*n^2+2, n, 0, 30); /* Martin Ettl, Nov 12 2012 */
(PARI) a(n)=(2*n-1)^2+(2*n+1)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Cf. A016754. Apart from leading term, same as A008527.

Sequence in context: A240407 A043004 A316172 * A059924 A304159 A211905

Adjacent sequences: A108097 A108098 A108099 * A108101 A108102 A108103

Keyword

nonn,easy

Author

Dorthe Roel (dorthe_roel(AT)hotmail.com or dorthe.roel1(AT)skolekom.dk), Jun 07 2005

Status

approved