id:A108576 - OEIS Search Results

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Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n.

+0
4

0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 16, 40, 64, 96, 128, 184, 240, 320, 400, 504, 608, 744, 880, 1056, 1232, 1440, 1648, 1904, 2160, 2464, 2768, 3120, 3472, 3880, 4288, 4760, 5232, 5760, 6288, 6888, 7488, 8160, 8832, 9576, 10320, 11144, 11968, 12880, 13792, 14784 (list; graph; listen)

	OFFSET	`1,10`
	REFERENCES	`M. Beck and T. Zaslavsky, Six little squares and how their numbers grow, in preparation.`
	FORMULA	`G.f.: (8x^10(2x^2+1)) / ((1-x^6)(1-x^4)*(1-x)^2) a(n) is given by a quasipolynomial of period 12.`
	EXAMPLE	`a(10) = 8 because there are 8 3 X 3 magic squares with distinct entries < 10 (they are the standard magic squares).`
	CROSSREFS	`Cf. A108577, A108578, A108579.` `Sequence in context: A063526 A156331 A024700 this_sequence A108235 A052207 A038578` `Adjacent sequences: A108573 A108574 A108575 this_sequence A108577 A108578 A108579`
	KEYWORD	`nonn`
	AUTHOR	`Thomas Zaslavsky (zaslav(AT)math.binghamton.edu), Jun 11 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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