login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A098502 16*n - 4. 5
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; 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). [From Vladimir Orlovsky, Feb 16 2009]

LINKS

Tanya Khovanova, Recursive Sequences

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

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 [From Vladimir Orlovsky, Feb 16 2009]

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

PROG

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

CROSSREFS

Cf. A098498, A017629, A008590.

Sequence in context: A044073 A044454 * A158953 A107707 A183053 A126195

Adjacent sequences:  A098499 A098500 A098501 * A098503 A098504 A098505

KEYWORD

nonn,easy

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 15 2004

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 23:05 EST 2012. Contains 206085 sequences.