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A178298 Number of collinear point triples in a 5 X 5 X 5 X... n-dimensional cubic grid. 1
0, 10, 152, 1858, 21680, 253690, 3023432, 36785458, 455700320, 5725140970 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (34, -416, 2174, -4095) conjectured.

FORMULA

From R. J. Mathar May 24 2010: (Start)

Conjecture: a(n) = 7^n - 5^(n+1)/2 + 13^n/2 + 9^n.

Conjecture: a(n) = 34*a(n-1) - 416*a(n-2) + 2174*a(n-3) - 4095*a(n-4).

Conjectured g.f.: 2*x*(5-94*x+425*x^2)/((9*x-1)*(13*x-1)*(7*x-1)*(5*x-1)).

(End)

CROSSREFS

Sequence in context: A034325 A239620 A253124 * A251730 A222487 A269608

Adjacent sequences:  A178295 A178296 A178297 * A178299 A178300 A178301

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified December 10 20:55 EST 2018. Contains 318049 sequences. (Running on oeis4.)