A069405 -id:A069405 - cp's OEIS frontend

A069425 Number of n X 5 binary arrays with a path of adjacent 1's and no path of adjacent 0's from top row to bottom row.

1, 211, 9539, 300651, 8168645, 206458895, 5022868187, 119647195507, 2816023729437, 65818825735031, 1532136293558119, 35579894275049831, 825082170362304285, 19117256012937548815, 442728846445605819023, 10249950234312030878755, 237262687880593853560805

Offset: 1

R. H. Hardin, Mar 22 2002

nonn

Cf. 2 X n A001047, n X 2 A034182, vertical path of 1 A069361-A069395, vertical paths of 0+1 A069396-A069416, vertical path of 1 not 0 A069417-A069428, no vertical paths A069429-A069447, no horizontal or vertical paths A069448-A069452.

a(n) = A069380(n) - 2 * A069405(n). - Sean A. Irvine, Aug 23 2024

More terms from Sean A. Irvine, Aug 23 2024

A069443 Half the number of n X 5 binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row.

Original entry on oeis.org

0, 16, 2304, 157058, 7664414, 317229344, 11974298030, 427585649578, 14741384488782, 496652156206058, 16475668543000750, 540790107010874580, 17620412998483400934, 571161367966749399684, 18446500586660704024820, 594209705207122247276746

Offset: 1

R. H. Hardin, Mar 22 2002

Cf. 2 X n A000079, n X 1 A000225, vertical path of 1 A069361-A069395, vertical paths of 0+1 A069396-A069416, vertical path of 1 not 0 A069417-A069428, no vertical paths A069429-A069447, no horizontal or vertical paths A069448-A069452.

a(n) = 2^(5*n-1) - A069380(n) + A069405(n). - Sean A. Irvine, Aug 23 2024

More terms from Sean A. Irvine, Aug 23 2024

cp's OEIS Frontend

A069425 Number of n X 5 binary arrays with a path of adjacent 1's and no path of adjacent 0's from top row to bottom row.

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