cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A132443 Number of n x n crossword puzzles with rotational symmetry and exactly one black square per row.

Original entry on oeis.org

0, 0, 0, 2, 2, 10, 12, 120, 186
Offset: 3

Views

Author

Marc Brodie (mbrodie(AT)wju.edu), Aug 21 2007

Keywords

Comments

Acceptable crossword puzzles must have all words of length 3 or more, at least one word in each row and each column and be connected.

Examples

			a(6) = 2 because the only two 6 X 6 crossword puzzles are (using 1's for black squares and 0's for white):
100000
100000
100000
000001
000001
000001
and
000001
000001
000001
100000
100000
100000
		

Crossrefs

A132446 The number of n x n crossword puzzles with at most one black square per row up to horizontal/vertical symmetry.

Original entry on oeis.org

1, 2, 3, 4, 10, 24, 71, 322
Offset: 3

Views

Author

Marc Brodie (mbrodie(AT)wju.edu), Aug 21 2007, Aug 22 2007

Keywords

Comments

Acceptable crossword puzzles must have all words of length 3 or more, at least one word in each row and each column and be connected.

Examples

			a(5) = 3 because up to symmetry the only 5 x 5 acceptable crossword puzzles with at most one black square per row (using 1's for black squares and 0's for white) are:
00000 10000 10000
00000 00000 10000
00000 00000 00000
00000 00000 00001
00000 00001 00001
		

Crossrefs

A132444 Number of n x n crossword puzzles with rotational symmetry and exactly one black square per row, up to symmetry.

Original entry on oeis.org

0, 0, 0, 1, 1, 5, 6, 60, 93
Offset: 3

Views

Author

Marc Brodie (mbrodie(AT)wju.edu), Aug 21 2007

Keywords

Comments

Acceptable crossword puzzles must have all words of length 3 or more, at least one word in each row and each column and be connected. Since the puzzles counted in sequence A132443 come naturally in pairs (by reflective symmetry), the numbers in this sequence are obtained by dividing the corresponding numbers in A132443 by 2.

Examples

			a(6) = 1 because up to symmetry, the only 6 X 6 crossword puzzle with exactly one black square in each row (using 1's for black squares and 0's for white) is:
100000
100000
100000
000001
000001
000001
		

Crossrefs

Programs

  • Maple
    See the program for A132443
Showing 1-3 of 3 results.