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A296153 Number of nX4 0..1 arrays with each 1 adjacent to 3 or 5 king-move neighboring 1s. 1
1, 7, 16, 32, 91, 237, 585, 1513, 3908, 10086, 26367, 68437, 178447, 471619, 1236166, 3249228, 8644925, 22840435, 60474807, 161669767, 429688556, 1144258358, 3069721963, 8195327679, 21917660229, 58944562187, 157891940442, 423580112950 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 4 of A296157.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) -2*a(n-2) +37*a(n-3) -100*a(n-4) +66*a(n-5) -541*a(n-6) +1232*a(n-7) -752*a(n-8) +4176*a(n-9) -7744*a(n-10) +4201*a(n-11) -18513*a(n-12) +27981*a(n-13) -12579*a(n-14) +48111*a(n-15) -60687*a(n-16) +19682*a(n-17) -72738*a(n-18) +78454*a(n-19) -13237*a(n-20) +64383*a(n-21) -58722*a(n-22) -2554*a(n-23) -36126*a(n-24) +24212*a(n-25) +9618*a(n-26) +16584*a(n-27) -2981*a(n-28) -7300*a(n-29) -6764*a(n-30) -3153*a(n-31) +3574*a(n-32) +1888*a(n-33) +2351*a(n-34) -1164*a(n-35) -309*a(n-36) -735*a(n-37) +214*a(n-38) +41*a(n-39) +119*a(n-40) -19*a(n-41) -4*a(n-42) -10*a(n-43)
EXAMPLE
Some solutions for n=7
..0..0..0..0. .0..0..0..0. .0..1..0..0. .1..1..1..1. .0..0..1..1
..0..0..1..0. .1..1..1..0. .1..1..1..0. .1..1..1..1. .0..0..1..1
..0..1..1..1. .1..1..1..0. .0..1..1..1. .0..0..0..0. .0..0..1..1
..0..1..0..1. .0..0..0..0. .0..0..1..0. .0..0..0..0. .0..0..1..1
..0..1..0..1. .0..0..0..0. .0..0..0..0. .0..1..1..1. .0..0..1..1
..0..1..1..1. .0..1..1..1. .1..1..1..0. .0..1..1..1. .0..0..1..1
..0..0..1..0. .0..1..1..1. .1..1..1..0. .0..0..0..0. .0..0..1..1
CROSSREFS
Cf. A296157.
Sequence in context: A286773 A019541 A101426 * A190661 A233058 A301721
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 06 2017
STATUS
approved

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)