id:A108579 - OEIS Search Results

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Number of symmetry classes 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, 1, 0, 0, 3, 0, 0, 4, 0, 0, 7, 0, 0, 10, 0, 0, 13, 0, 0, 17, 0, 0, 22, 0, 0, 26, 0, 0, 32, 0, 0, 38, 0, 0, 44, 0, 0, 51, 0, 0, 59, 0, 0, 66, 0, 0, 75, 0, 0, 84, 0, 0, 93, 0, 0, 103, 0, 0, 114, 0, 0, 124, 0, 0, 136, 0, 0, 148, 0, 0, 160, 0, 0, 173, 0, 0, 187, 0 (list; graph; listen)

	OFFSET	`1,18`
	REFERENCES	`M. Beck and T. Zaslavsky, Six little squares and how their numbers grow, in preparation.`
	FORMULA	`G.f.: (x^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) = 1 because there is a unique 3 X 3 magic square, up to symmetry, using the first 9 positive integers.`
	CROSSREFS	`Cf. A108576, A108577, A108578.` `Nonzero entries are the second differences of A055328.` `Sequence in context: A021773 A133109 A130208 this_sequence A143044 A127775 A092669` `Adjacent sequences: A108576 A108577 A108578 this_sequence A108580 A108581 A108582`
	KEYWORD	`nonn`
	AUTHOR	`Thomas Zaslavsky (zaslav(AT)math.binghamton.edu), Jun 11 2005`

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Last modified December 4 12:48 EST 2009. Contains 170310 sequences.

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