id:A108577 - OEIS Search Results

Search: id:A108577

Displaying 1-1 of 1 results found.

page 1

Number of symmetry classes 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, 1, 2, 5, 8, 12, 16, 23, 30, 40, 50, 63, 76, 93, 110, 132, 154, 180, 206, 238, 270, 308, 346, 390, 434, 485, 536, 595, 654, 720, 786, 861, 936, 1020, 1104, 1197, 1290, 1393, 1496, 1610, 1724, 1848, 1972, 2108, 2244, 2392, 2540, 2700, 2860 (list; graph; listen)

	OFFSET	`1,11`
	REFERENCES	`M. Beck and T. Zaslavsky, Six little squares and how their numbers grow, in preparation.`
	FORMULA	`G.f.: (x^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) = 1 because there is only one symmetry type of 3 X 3 magic square with entries 1,...,9.`
	CROSSREFS	`Cf. A108576, A108578, A108579.` `Adjacent sequences: A108574 A108575 A108576 this_sequence A108578 A108579 A108580` `Sequence in context: A003314 A070977 A134925 this_sequence A036789 A002960 A022942`
	KEYWORD	`nonn`
	AUTHOR	`Thomas Zaslavsky (zaslav(AT)math.binghamton.edu), Jun 11 2005`

page 1

Search completed in 0.002 seconds

Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

AT&T Labs Research