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A240445 Numbers of ways to place five indistinguishable points on an n X n square grid so that no four of them are vertices of a square of any orientation. 3
96, 4128, 52080, 373632, 1898064, 7604352, 25580016, 75208320, 198651024, 480768288, 1081848768, 2289041664, 4594218720, 8808178176, 16223664672, 28842649344, 49686723072, 83213333280, 135864971088, 216783321216, 338725852080, 519228378240, 782063802000 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

All elements of the sequence are multiples of 48.

LINKS

Heinrich Ludwig, Table of n, a(n) for n = 3..1000

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

a(n) = (n^10 - 10*n^8 + 25*n^6 - 16*n^2)/120.

G.f.: -48*x^3*(x+1)*(2*x^4+62*x^3+187*x^2+62*x+2) / (x-1)^11. - Colin Barker, May 09 2014

MAPLE

A240445:=n->(n^10 - 10*n^8 + 25*n^6 - 16*n^2)/120; seq(A240445(n), n=3..30); # Wesley Ivan Hurt, May 09 2014

MATHEMATICA

Table[(n^10 - 10*n^8 + 25*n^6 - 16*n^2)/120, {n, 3, 30}] (* Wesley Ivan Hurt, May 09 2014 *)

PROG

(MAGMA) [(n^10 - 10*n^8 + 25*n^6 - 16*n^2)/120: n in [3..30]]; // Wesley Ivan Hurt, May 09 2014

CROSSREFS

Cf. A240444, A240446.

Sequence in context: A008660 A164751 A272765 * A229458 A285171 A239182

Adjacent sequences:  A240442 A240443 A240444 * A240446 A240447 A240448

KEYWORD

nonn,easy

AUTHOR

Heinrich Ludwig, May 09 2014

STATUS

approved

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Last modified December 14 12:04 EST 2019. Contains 329979 sequences. (Running on oeis4.)