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A298830 Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1
1, 16, 6, 68, 141, 489, 2774, 9849, 39101, 183074, 768268, 3094425, 13600466, 58825790, 243388690, 1044751712, 4510287691, 18993143352, 80911731590, 347373816744, 1474949726778, 6275196854211, 26837387067655, 114307141604206 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298834.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +a(n-2) +49*a(n-3) -190*a(n-4) -142*a(n-5) -490*a(n-6) +3529*a(n-7) +931*a(n-8) -2445*a(n-9) -22916*a(n-10) +8373*a(n-11) +46085*a(n-12) +28964*a(n-13) -74055*a(n-14) -166635*a(n-15) +170052*a(n-16) +116703*a(n-17) +83747*a(n-18) -359546*a(n-19) +148326*a(n-20) +463402*a(n-21) -380831*a(n-22) -522218*a(n-23) +118848*a(n-24) +606224*a(n-25) +51024*a(n-26) -315707*a(n-27) -51586*a(n-28) -479161*a(n-29) -4310630*a(n-30) +6488972*a(n-31) -360817*a(n-32) +1226847*a(n-33) +97998*a(n-34) -2001512*a(n-35) -2307*a(n-36) -2820274*a(n-37) +1066042*a(n-38) +1038066*a(n-39) -416347*a(n-40) -1837978*a(n-41) +2558113*a(n-42) -327253*a(n-43) -301655*a(n-44) -874393*a(n-45) +2898299*a(n-46) +1530562*a(n-47) -1350912*a(n-48) -2229129*a(n-49) -648926*a(n-50) +481347*a(n-51) +250281*a(n-52) +86759*a(n-53) +184992*a(n-54) +330267*a(n-55) +26616*a(n-56) -139260*a(n-57) -132100*a(n-58) -965*a(n-59) +23028*a(n-60) +14606*a(n-61) -1538*a(n-62) -504*a(n-63) for n>65

EXAMPLE

Some solutions for n=5

..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0

..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0

..1..1..1..1. .1..1..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0

..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1

..1..1..1..1. .1..1..1..1. .1..1..0..0. .0..0..1..1. .1..1..1..1

CROSSREFS

Cf. A298834.

Sequence in context: A161884 A166210 A141078 * A302215 A057964 A302463

Adjacent sequences:  A298827 A298828 A298829 * A298831 A298832 A298833

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2018

STATUS

approved

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Last modified October 27 20:04 EDT 2021. Contains 348289 sequences. (Running on oeis4.)