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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A178294 Number of collinear point triples in a 4 X 4 X 4 X... n-dimensional cubic grid 1
0, 4, 44, 376, 2960, 22624, 171584, 1303936, 9969920, 76793344 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..9.

R. J. Mathar, Points on a line in the finite d-dimensional simple cubic lattice

Index entries for linear recurrences with constant coefficients, signature (18, -104, 192) conjectured.

FORMULA

Conjecture: a(n) = 8^n/2-3*4^n/2+6^n. a(n)= +18*a(n-1) -104*a(n-2) +192*a(n-3). G.f.: 4*x*(-1+7*x)/((6*x-1)*(8*x-1)*(4*x-1)). [R. J. Mathar, May 24 2010]

CROSSREFS

Cf. A005059.

Sequence in context: A035014 A259989 A030987 * A043039 A198962 A002754

Adjacent sequences:  A178291 A178292 A178293 * A178295 A178296 A178297

KEYWORD

nonn

AUTHOR

R. H. Hardin, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 24 2010

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 June 28 09:49 EDT 2017. Contains 288813 sequences.