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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003167 Number of n-dimensional cuboids with integral edge lengths for which volume = surface area. 2
2, 10, 108, 2892, 270332 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

For n>1 it is always true that a(n) > 0 because for dimension n we always have the n-dimensional cuboid with all edge lengths = 2n = A062971(n) having hypervolume (2n)^n equal to "surface hyper-area". - Jonathan Vos Post, Mar 15 2006

LINKS

Table of n, a(n) for n=2..6.

Gerald E. Gannon, Martin V. Bonsangue and Terrence J. Redfern, One Good Problem Leads to Another and Another and..., Math. Teacher, 90 (#3, 1997), pp. 188-191.

Michel Marcus, Cuboids for n=4, after Joseph Myers.

EXAMPLE

From Joseph Myers, Feb 24 2004: (Start)

For n=2 the cuboids are 3 X 6 and 4 X 4.

For n=3 the cuboids are 3 X 7 X 42, 3 X 8 X 24, 3 X 9 X 18, 3 X 10 X 15, 3 X 12 X 12, 4 X 5 X 20, 4 X 6 X 12, 4 X 8 X 8, 5 X 5 X 10, 6 X 6 X 6. (End)

For n=4 see the Marcus link.

CROSSREFS

Cf. A002966.

Sequence in context: A185396 A003222 A262145 * A240625 A062412 A212491

Adjacent sequences:  A003164 A003165 A003166 * A003168 A003169 A003170

KEYWORD

nonn,hard,more

AUTHOR

mjzerger(AT)adams.edu

EXTENSIONS

a(5)-a(6) from Joseph Myers, Feb 24 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 21 14:44 EST 2017. Contains 295002 sequences.