A178296 - OEIS

A178296

Number of collinear point 5-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid

0, 6, 88, 984, 9952, 96096, 907648, 8494464, 79355392, 743241216

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OFFSET

0,2

LINKS

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

FORMULA

Conjecture: a(n) = 10^n/2+2*8^n-5*6^n/2. a(n)= 24*a(n-1) -188*a(n-2) +480*a(n-3). G.f.: 2*x*(-3+28*x)/((6*x-1)*(8*x-1)*(10*x-1)). [R. J. Mathar, May 24 2010]

CROSSREFS

Sequence in context: A210012 A226426 A210005 * A122770 A265267 A218260

Adjacent sequences: A178293 A178294 A178295 * A178297 A178298 A178299

KEYWORD

nonn

AUTHOR

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

STATUS

approved