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A296310 Number of nX5 0..1 arrays with each 1 adjacent to 3 or 6 king-move neighboring 1s. 1
1, 6, 13, 23, 68, 162, 343, 864, 2075, 4715, 11332, 27032, 63289, 150185, 356088, 845066, 2001445, 4729763, 11313308, 26839052, 63348543, 152575504, 363231490, 857562898, 2082301478, 4983700747, 11785221680, 28919297267, 69747046028 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 5 of A296313.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-2) +67*a(n-3) -59*a(n-4) -62*a(n-5) -1809*a(n-6) +1341*a(n-7) +1511*a(n-8) +25586*a(n-9) -14845*a(n-10) -18705*a(n-11) -209575*a(n-12) +85588*a(n-13) +130544*a(n-14) +1061484*a(n-15) -269421*a(n-16) -562999*a(n-17) -3499136*a(n-18) +417881*a(n-19) +1591445*a(n-20) +7763653*a(n-21) -11662*a(n-22) -3001912*a(n-23) -11769729*a(n-24) -1191122*a(n-25) +3833180*a(n-26) +12194217*a(n-27) +2198725*a(n-28) -3499229*a(n-29) -8621478*a(n-30) -1899439*a(n-31) +2529304*a(n-32) +4247435*a(n-33) +883792*a(n-34) -1505136*a(n-35) -1540053*a(n-36) -247920*a(n-37) +665714*a(n-38) +420856*a(n-39) +55872*a(n-40) -202184*a(n-41) -80280*a(n-42) -10232*a(n-43) +41448*a(n-44) +9568*a(n-45) +1056*a(n-46) -5344*a(n-47) -640*a(n-48) -128*a(n-49) +384*a(n-50)
EXAMPLE
Some solutions for n=5
..0..0..1..1..0. .0..1..1..0..0. .0..0..1..0..0. .0..0..0..1..1
..0..0..1..1..0. .1..0..1..1..1. .1..1..1..1..1. .1..1..0..1..1
..0..0..0..0..0. .1..1..1..1..1. .1..1..1..1..1. .1..1..0..0..0
..0..0..0..1..1. .0..1..1..0..0. .0..0..1..0..0. .0..0..0..0..0
..0..0..0..1..1. .0..1..1..0..0. .0..0..0..0..0. .0..0..0..0..0
CROSSREFS
Cf. A296313.
Sequence in context: A359351 A293504 A194126 * A235450 A032528 A058535
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 10 2017
STATUS
approved

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Last modified April 16 03:22 EDT 2024. Contains 371696 sequences. (Running on oeis4.)