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A098502 16*n - 4. 6
12, 28, 44, 60, 76, 92, 108, 124, 140, 156, 172, 188, 204, 220, 236, 252, 268, 284, 300, 316, 332, 348, 364, 380, 396, 412, 428, 444, 460, 476, 492, 508, 524, 540, 556, 572, 588, 604, 620, 636, 652, 668, 684, 700, 716, 732, 748, 764, 780, 796, 812, 828, 844 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For n>3, the number of squares on the infinite 4-column chessboard at <=n knight moves from any fixed start point.

General form (q*n-1)*q, cf. A017233 (q=3). - Vladimir Joseph Stephan Orlovsky, Feb 16 2009

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (2,-1).

EXAMPLE

G.f.: 4*x*(3+x)/(1-x)^2. - Colin Barker, Jan 09 2012

MATHEMATICA

q=4; lst={}; Do[AppendTo[lst, (q*n-1)*q], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 16 2009 *)

Range[12, 1000, 16] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)

PROG

(MAGMA) [16*n - 4: n in [1..60]]; // Vincenzo Librandi, Jul 24 2011

(PARI) a(n)=16*n-4 \\ Charles R Greathouse IV, Jul 10 2016

CROSSREFS

Cf. A098498, A017629, A008590.

Sequence in context: A044073 A044454 * A158953 A223454 A107707 A183053

Adjacent sequences:  A098499 A098500 A098501 * A098503 A098504 A098505

KEYWORD

nonn,easy

AUTHOR

Ralf Stephan, Sep 15 2004

STATUS

approved

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Last modified August 23 22:23 EDT 2017. Contains 291021 sequences.