id:A108578 - OEIS Search Results

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

+0
4

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 24, 0, 0, 32, 0, 0, 56, 0, 0, 80, 0, 0, 104, 0, 0, 136, 0, 0, 176, 0, 0, 208, 0, 0, 256, 0, 0, 304, 0, 0, 352, 0, 0, 408, 0, 0, 472, 0, 0, 528, 0, 0, 600, 0, 0, 672, 0, 0, 744, 0, 0, 824, 0, 0, 912, 0, 0, 992, 0, 0, 1088, 0, 0, 1184, 0, 0 (list; graph; listen)

	OFFSET	`1,15`
	REFERENCES	`M. Beck and T. Zaslavsky, Six little squares and how their numbers grow, in preparation.`
	FORMULA	`G.f.: (8x^15(1+2x^3)) / ((1-x^3)(1-x^6)*(1-x^9)) a(n) is given by a quasipolynomial of period 18.`
	EXAMPLE	`a(15) = 8 because there are 8 3 X 3 magic squares with entries 1,...,9.`
	CROSSREFS	`Cf. A108576, A108577, A108579.` `Adjacent sequences: A108575 A108576 A108577 this_sequence A108579 A108580 A108581` `Sequence in context: A114611 A075448 A028593 this_sequence A037216 A028701 A126270`
	KEYWORD	`nonn`
	AUTHOR	`Thomas Zaslavsky (zaslav(AT)math.binghamton.edu), Jun 11 2005`

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.

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