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User:Yosu Yurramendi/BinaryRectangularGrids

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Number of binary pattern classes in the (m,n)-rectangular grid
with k   '1's and (m·n-k)   '0's

Two binary patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation.

  • A034851 : ( 1,n,k) triangle is the Losanitsch's triangle.
  • A226048 : ( 2,n,k) triangle.
  • A226290 : ( 3,n,k) triangle.
  • A225812 : ( 4,n,k) triangle (with María Merino).
  • A228022 : ( 5,n,k) triangle (with María Merino).
  • A228165 : ( 6,n,k) triangle (with María Merino).
  • A228166 : ( 7,n,k) triangle (with María Merino).
  • A228167 : ( 8,n,k) triangle (with María Merino).
  • A228168 : ( 9,n,k) triangle (with María Merino).
  • A228169 : (10,n,k) triangle (with María Merino).


A225826 to A225834 : (m,n) sequences, 1 < m < 11 (one by one).
A225910 : (m,n) table, 1 < m < 11 ((m,n) sequences all together).

YURRAMENDI MENDIZABAL Y. 2013. "Matematika esperimentalaren adibide bat: Lauki sareko patroi bitarren kopuruaren kalkulua", EKAIA, 26, 325-348] ([1]).
MERINO MAESTRE M., YURRAMENDI MENDIZABAL Y. 2014. "Lauki sareko patroi bitarren kalkulua, oinarrizko konbinatoriaren eskutik" EKAIA, 27, 237-262 ([2]).
MERINO MAESTRE M., UNANUE GUAL I. 2018. "Lauki sareko patroien kalkulua, Polyaren teoriaren eskutik" EKAIA, 34, 289-316 ([3]).