A178299 Number of collinear point 4-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid

0, 15, 234, 2820, 31176, 333840, 3546144, 37807680, 406924416, 4432154880

Offset

0,2

Links

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

Formula

Conjecture: a(n) = 3*8^n+3*10^n/2-5*6^n+12^n/2. a(n)= 36*a(n-1) -476*a(n-2) +2736*a(n-3) -5760*a(n-4). G.f.: 3*x*(5-102*x+512*x^2)/((12*x-1)*(6*x-1)*(8*x-1)*(10*x-1)). [R. J. Mathar May 24 2010]

Crossrefs

Sequence in context: A250418 A231411 A097185 * A097582 A351527 A057007

Adjacent sequences: A178296 A178297 A178298 * A178300 A178301 A178302

Keyword

nonn

Author

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

Status

approved