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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A160538 a(n)=4(n^4-n^3) 0
0, 32, 216, 768, 2000, 4320, 8232, 14336, 23328, 36000, 53240, 76032, 105456, 142688, 189000, 245760, 314432, 396576, 493848, 608000, 740880, 894432, 1070696, 1271808, 1500000, 1757600, 2047032, 2370816, 2731568, 3132000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) is the number of edges in a four-dimensional hypercube (a tesseract) having sides of length n.

LINKS

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

O.g.f.:(32x^2+56x^3+8x^4)/(1-x)^5 E.g.f.:4*exp(x)*x^2 (4 + 5 x + x^2)

EXAMPLE

a(1) = 32 because the four dimensional unit hypercube has 32 edges.

MATHEMATICA

Table[4 (n^4 - n^3), {n, 20}]

LinearRecurrence[{5, -10, 10, -5, 1}, {0, 32, 216, 768, 2000}, 30] (* Harvey P. Dale, Nov 05 2017 *)

CROSSREFS

Cf. A046092, A059986

Sequence in context: A119286 A125342 A126500 * A200787 A250354 A146089

Adjacent sequences:  A160535 A160536 A160537 * A160539 A160540 A160541

KEYWORD

nonn

AUTHOR

Geoffrey Critzer, May 18 2009

EXTENSIONS

More terms from Harvey P. Dale, Nov 05 2017

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 21 09:11 EDT 2019. Contains 323441 sequences. (Running on oeis4.)