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A282477 Number of n X 4 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements. 1
0, 18, 483, 8208, 127603, 1905024, 27253740, 376888612, 5103365490, 67844126082, 888477690822, 11494561892636, 147164798869788, 1867364729867364, 23511630584230335, 294017262976224648, 3654593023686994587 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 4 of A282481.
LINKS
FORMULA
Empirical: a(n) = 24*a(n-1) -120*a(n-2) -175*a(n-3) -5313*a(n-4) +33897*a(n-5) +91170*a(n-6) +922785*a(n-7) -871155*a(n-8) +1386209*a(n-9) -39326478*a(n-10) +16348518*a(n-11) -242662286*a(n-12) +719750574*a(n-13) -915843852*a(n-14) +5389420575*a(n-15) -6402065955*a(n-16) +18558713265*a(n-17) -36291677607*a(n-18) +36658882509*a(n-19) -111803026233*a(n-20) +37820290264*a(n-21) -186653499243*a(n-22) -24253558107*a(n-23) -154719330612*a(n-24) -151447086027*a(n-25) -39597513456*a(n-26) -193806180272*a(n-27) +1483880016*a(n-28) -80914984128*a(n-29) -24673015303*a(n-30) +13449544203*a(n-31) -17431182387*a(n-32) +29437381292*a(n-33) +2087742873*a(n-34) +10703374140*a(n-35) +6598456364*a(n-36) +688357758*a(n-37) +2294637003*a(n-38) -1308463352*a(n-39) -423398529*a(n-40) -656524233*a(n-41) -341786628*a(n-42) -80245032*a(n-43) -26199516*a(n-44) +22890515*a(n-45) +15362349*a(n-46) +7989024*a(n-47) +3600463*a(n-48) +901782*a(n-49) +232356*a(n-50) +39304*a(n-51).
EXAMPLE
Some solutions for n=4
..1..0..1..1. .1..1..0..1. .1..1..0..0. .0..0..1..1. .0..0..0..0
..1..0..1..0. .0..1..1..0. .0..1..1..1. .1..0..1..1. .1..0..1..1
..1..1..1..0. .1..0..0..1. .0..0..0..1. .0..1..1..0. .1..1..1..0
..0..0..0..1. .1..0..0..0. .0..0..1..1. .0..0..0..0. .0..1..0..0
CROSSREFS
Cf. A282481.
Sequence in context: A230587 A281161 A027405 * A116176 A035023 A180791
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 16 2017
STATUS
approved

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Last modified June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)