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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083504 Triangle read by rows: for 1 <= k <= n, T(n, k) is the total perimeter of all squares contained in a square grid with n rows and k columns. 0
4, 8, 24, 12, 40, 80, 16, 56, 120, 200, 20, 72, 160, 280, 420, 24, 88, 200, 360, 560, 784, 28, 104, 240, 440, 700, 1008, 1344, 32, 120, 280, 520, 840, 1232, 1680, 2160, 36, 136, 320, 600, 980, 1456, 2016, 2640, 3300, 40, 152, 360, 680, 1120, 1680, 2352, 3120 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

T(n, n) = 4*A002415(n+1). Row sums are 4*A051836.

LINKS

Table of n, a(n) for n=1..53.

FORMULA

T(n, k) = (2k^3*n+6k^2*n+k^2+4k*n+2k-k^4-2k^3)/3.

EXAMPLE

T(3, 2) = 40 because the six 1 X 1 squares each have perimeter 4 and the two 2 X 2 squares each have perimeter 8.

CROSSREFS

Cf. A082652, A083003.

Sequence in context: A181688 A243557 A316687 * A277291 A254731 A291548

Adjacent sequences:  A083501 A083502 A083503 * A083505 A083506 A083507

KEYWORD

nonn,tabl,easy

AUTHOR

Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), Jun 09 2003

EXTENSIONS

Edited by David Wasserman, Nov 18 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 19 06:48 EDT 2019. Contains 323386 sequences. (Running on oeis4.)