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A065532 a(n) = 48*n^2 - 1. 2
-1, 47, 191, 431, 767, 1199, 1727, 2351, 3071, 3887, 4799, 5807, 6911, 8111, 9407, 10799, 12287, 13871, 15551, 17327, 19199, 21167, 23231, 25391, 27647, 29999, 32447, 34991, 37631, 40367, 43199, 46127, 49151, 52271, 55487, 58799, 62207 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

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

FORMULA

From Vincenzo Librandi, Jul 08 2012: (Start)

G.f.: (1 - 50*x - 47*x^2)/(x-1)^3.

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

MATHEMATICA

CoefficientList[Series[(1-50*x-47*x^2)/(x-1)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 08 2012 *)

LinearRecurrence[{3, -3, 1}, {-1, 47, 191}, 40] (* Harvey P. Dale, Dec 13 2017 *)

PROG

(PARI) A065532(n)=48*n^2-1

(PARI) { for (n=0, 1000, write("b065532.txt", n, " ", 48*n^2 - 1) ) } \\ Harry J. Smith, Oct 21 2009

(Magma) [48*n^2 - 1: n in [0..50]]; // Vincenzo Librandi, Jul 08 2012

CROSSREFS

Sequence in context: A204610 A158632 A142413 * A157362 A141874 A224325

Adjacent sequences:  A065529 A065530 A065531 * A065533 A065534 A065535

KEYWORD

sign,easy

AUTHOR

Labos Elemer, Nov 28 2001

EXTENSIONS

Better description from Randall L Rathbun, Jan 19 2002

OFFSET changed from 1,2 to 0,2 by Harry J. Smith, Oct 21 2009

STATUS

approved

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Last modified October 4 21:22 EDT 2022. Contains 357240 sequences. (Running on oeis4.)