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Search: id:A054407
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A054407 Number of asymmetric n X n binary matrices under action of dihedral group of the square D_4. +0
4
0, 0, 0, 36, 7860, 4177152, 8589313152, 70368605798400, 2305842990423490560, 302231454885790246502400, 158456325028519245775644917760 (list; graph; listen)
OFFSET

0,4

FORMULA

(1/8)*(2^(n^2)-2*2^((n^2+n)/2)-3*2^(n^2/2)+2*2^(n^2/4)+2*2^((n^2+2*n)/4)) if n is even and (1/8)*(2^(n^2)-4*2^((n^2+n)/2)-2^((n^2+1)/2)+4*2^((n^2+2*n+1)/4))/8 if n is odd.

CROSSREFS

Cf. A054247.

Adjacent sequences: A054404 A054405 A054406 this_sequence A054408 A054409 A054410

Sequence in context: A068272 A068284 A013739 this_sequence A058466 A141475 A134374

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), May 08 2000

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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