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A006382 Number of n X 4 binary matrices under row and column permutations and column complementations.
(Formerly M3814)
6
1, 1, 5, 11, 41, 101, 301, 757, 1981, 4714, 11133, 24763, 53818, 111941, 226857, 444260, 848620, 1576226, 2862426, 5077454, 8827758, 15043096, 25183794, 41434222, 67108437, 107051463, 168402958, 261384026, 400684767, 606936536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

M. A. Harrison, On the number of classes of binary matrices, IEEE Trans. Computers, 22 (1973), 1048-1051.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..29.

Index entries for sequences related to binary matrices

FORMULA

G.f. : (1/(1 - x^1)^16 + 51/(1 - x^2)^8 + 12/(1 - x^1)^8/(1 - x^2)^4 + 84/(1 - x^4)^4 + 12/(1 - x^1 )^4/(1 - x^2)^6 + 32/(1 - x^1)^4/(1 - x^3)^4 + 96/(1 - x^2)^2/(1 - x^6)^2 + 48/(1 - x^1)^2/(1 - x^2)^1/(1 - x^4)^3 + 48/(1 - x^8)^2)/384.

EXAMPLE

Representatives of the five classes of 2 X 4 binary matrices are:

[ 1 1 1 1 ] [ 1 1 1 0 ] [ 1 1 0 1 ] [ 1 0 1 1 ] [ 0 1 1 1 ]

[ 1 1 1 1 ] [ 1 1 1 1 ] [ 1 1 1 0 ] [ 1 1 0 0 ] [ 1 0 0 0 ]

CROSSREFS

Cf. A005232, A006380, A006381, A002727, A006148.

Sequence in context: A023271 A159049 A047976 * A295504 A055113 A260268

Adjacent sequences:  A006379 A006380 A006381 * A006383 A006384 A006385

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Entry revised by Vladeta Jovovic, Aug 05 2000

STATUS

approved

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Last modified January 20 14:40 EST 2019. Contains 319333 sequences. (Running on oeis4.)