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A178297 Number of collinear point 6-tuples in a 7 X 7 X 7 X... n-dimensional cubic grid 0
0, 7, 116, 1459, 16520, 177727, 1861436, 19230379, 197501840 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..8.

Index entries for linear recurrences with constant coefficients, signature (27, -239, 693) conjectured.

FORMULA

Conjecture: a(n) = 11^n/2+5*9^n/2-3*7^n. a(n)= 27*a(n-1) -239*a(n-2) +693*a(n-3). G.f.: x*(-7+73*x)/((11*x-1)*(7*x-1)*(9*x-1)). [R. J. Mathar May 24 2010]

CROSSREFS

Sequence in context: A063399 A220181 A328813 * A285394 A339390 A251585

Adjacent sequences:  A178294 A178295 A178296 * A178298 A178299 A178300

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 1 16:44 EST 2021. Contains 349430 sequences. (Running on oeis4.)