A163031 Number of n X 5 binary arrays with all 1s connected and a path of 1s from top row to bottom row.

15, 245, 5191, 104989, 2075271, 40792921, 801218515, 15736428305, 309080891641, 6070750256417, 119237718452471, 2341990743046197, 45999883370408813, 903500281246849523, 17745974522766912147, 348555078644003475079

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n=1..21

Chaim Goodman-Strauss, Notes on the number of m × n binary arrays with all 1’s connected and a path of 1’s from top row to bottom row (May 21 2020)

Chaim Goodman-Strauss, Mma notebook to accompany the above document

Formula

For a formula see the Goodman-Strauss links. - N. J. A. Sloane, May 22 2020

Crossrefs

Column 5 of A359574.

Cf. A163029-A163036.

Sequence in context: A059760 A059615 A215855 * A065920 A273624 A223424

Adjacent sequences: A163028 A163029 A163030 * A163032 A163033 A163034

Keyword

nonn

Author

R. H. Hardin, Jul 20 2009

Status

approved