A298632 Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 24, 7, 25, 34, 61, 107, 234, 433, 961, 2031, 4286, 9049, 19572, 42207, 90557, 194112, 418184, 901007, 1939807, 4174626, 8990616, 19367572, 41712507, 89838136, 193510412, 416852536, 897902639, 1934114676, 4166302499, 8974865117

Offset

1,2

Comments

Column 5 of A298635.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +8*a(n-4) -11*a(n-5) -21*a(n-6) +2*a(n-7) -20*a(n-8) +16*a(n-9) +84*a(n-10) +73*a(n-11) +27*a(n-12) -52*a(n-13) -169*a(n-14) -183*a(n-15) -110*a(n-16) +93*a(n-17) +314*a(n-18) +312*a(n-19) -93*a(n-20) -92*a(n-21) +137*a(n-22) -389*a(n-23) -208*a(n-24) +349*a(n-25) -384*a(n-26) -641*a(n-27) +876*a(n-28) +417*a(n-29) -387*a(n-30) +281*a(n-31) +240*a(n-32) -875*a(n-33) -87*a(n-34) +712*a(n-35) +36*a(n-36) -340*a(n-37) +530*a(n-38) +237*a(n-39) -522*a(n-40) -182*a(n-41) +26*a(n-42) -207*a(n-43) -81*a(n-44) +230*a(n-45) +220*a(n-46) -21*a(n-47) -58*a(n-48) +23*a(n-49) -4*a(n-50) -115*a(n-51) -50*a(n-52) +76*a(n-53) +6*a(n-54) -16*a(n-55) +34*a(n-56) +4*a(n-57) -12*a(n-58) for n>64

Example

Some solutions for n=5
..0..0..0..0..0. .0..0..1..0..0. .0..0..1..0..0. .0..0..1..0..0
..0..1..1..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..1..0
..1..0..0..0..1. .1..0..0..0..1. .0..1..0..1..1. .1..1..0..1..0
..1..1..0..1..1. .1..0..1..1..0. .1..0..0..1..0. .0..1..0..1..0
..1..0..0..0..1. .1..1..0..0..0. .1..1..1..0..0. .0..0..1..0..0

Crossrefs

Cf. A298635.

Sequence in context: A339008 A068613 A297983 * A241362 A363793 A033823

Adjacent sequences: A298629 A298630 A298631 * A298633 A298634 A298635

Keyword

nonn

Author

R. H. Hardin, Jan 23 2018

Status

approved