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Search: id:A108578
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A108578 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.: (8*x^15*(1+2*x^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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