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A163030 Number of nX4 binary arrays with all 1s connected and a path of 1s from top row to bottom row 2
10, 88, 920, 9362, 94280, 947760, 9528128, 95797726, 963186740, 9684246062, 97369020768, 978984263266, 9843070964036, 98965887676178, 995039757124590, 10004498940354450, 100588944638377056, 1011358574138112578 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n=1..44

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

Empirical: a(n)= 15*a(n-1) -59*a(n-2) +97*a(n-3) -19*a(n-4) -210*a(n-5) +222*a(n-6) +22*a(n-7) -113*a(n-8) +7*a(n-9) -71*a(n-10) +13*a(n-11) +a(n-12). [From R. J. Mathar, Aug 11 2009]

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

CROSSREFS

Cf. A163029-A163036.

Sequence in context: A287828 A264320 A298134 * A302149 A269008 A000826

Adjacent sequences:  A163027 A163028 A163029 * A163031 A163032 A163033

KEYWORD

nonn,changed

AUTHOR

R. H. Hardin Jul 20 2009

STATUS

approved

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Last modified May 28 04:50 EDT 2020. Contains 334671 sequences. (Running on oeis4.)