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A178351 Number of collinear point 5-tuples in a 7 X 7 X 7 X ... n-dimensional cubic grid 1
0, 21, 364, 4833, 58360, 676941, 7731364, 88086873, 1008580720, 11652595461 (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 (40, -590, 3800, -9009) conjectured.

FORMULA

Conjecture: a(n) = 2*11^n+13^n/2+5*9^n-15*7^n/2 ; a(n) = +40*a(n-1) -590*a(n-2) +3800*a(n-3) -9009*a(n-4). G.f.: x*(21-476*x+2663*x^2) / ( (11*x-1)*(13*x-1)*(7*x-1)*(9*x-1) ). [R. J. Mathar May 25 2010]

CROSSREFS

Sequence in context: A167032 A051564 A108495 * A152182 A036904 A218763

Adjacent sequences:  A178348 A178349 A178350 * A178352 A178353 A178354

KEYWORD

nonn

AUTHOR

R. H. Hardin, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 25 2010

STATUS

approved

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Last modified September 25 18:20 EDT 2017. Contains 292499 sequences.