STATUS
reviewed
approved
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Revision History for A000519
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Number of equivalence classes of nonzero regular 0-1 matrices of order n.
(history; published version)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
DATA
1, 2, 3, 5, 7, 18, 43, 313, 7525, 846992, 324127859, 403254094631, 1555631972009429, 19731915624463099552, 791773335030637885025287, 107432353216118868234728540267, 47049030539260648478475949282317451, 71364337698829887974206671525372672234854
FORMULA
a(n) = A333681(n-1). - Andrew Howroyd, Apr 03 2020
CROSSREFS
Cf. A333681.
KEYWORD
nonn,more
nonn
EXTENSIONS
Terms a(12) and beyond from Andrew Howroyd, Apr 03 2020
STATUS
approved
editing
STATUS
editing
approved
NAME
Equivalence Number of equivalence classes of nonzero regular 0-1 matrices of order n.
EXAMPLE
G.f. = x + 2*x^2 + 3*x^3 + 5*x^4 + 7*x^5 + 18*x^6 + 43*x^7 + 313*x^8 + 7525*x^9 + ...
STATUS
reviewed
editing
STATUS
proposed
reviewed
STATUS
editing
proposed
COMMENTS
A regular 0-1 matrix has all row sums and column sums equal. Equivalence is defined by independently permuting rows and columns (but not by transposing). - Brendan McKay, Nov 18 2015
A regular 0-1 matrix has all row sums and column sums equal. Equivalence is defined by independently permuting rows and columns (but not by transposing). - Brendan McKay, Nov 18 2015
COMMENTS
A regular 0-1 matrix has all row sums and column sums equal. Equivalence is defined by independently permuting rows and columns (but not by transposing). - _Brendan McKay_, Nov 18 2015
STATUS
proposed
editing