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A218662 Hilltop maps: number of nX7 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX7 array 2
57, 13905, 1560161, 193349025, 24176619049, 3004025019009, 373654052856545, 46478887982679329, 5781165979795708377, 719085383719049449649, 89442819441859188818049, 11125261930001197817552385 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A218663
LINKS
FORMULA
Empirical: a(n) = 81*a(n-1) +3998*a(n-2) +158010*a(n-3) +1849933*a(n-4) +17704555*a(n-5) -185587848*a(n-6) -1215221200*a(n-7) -17384625711*a(n-8) +126999406351*a(n-9) +39090536842*a(n-10) +6807057033726*a(n-11) -41198407057053*a(n-12) +63289019626261*a(n-13) -1128355645847976*a(n-14) +5549689423762432*a(n-15) -7802491075221706*a(n-16) +70182718454608106*a(n-17) -281799899748410836*a(n-18) +153184610537054020*a(n-19) -1110637935361997694*a(n-20) +4734886539912299758*a(n-21) +968148247466305616*a(n-22) +3000021711829386048*a(n-23) -34793389191554054078*a(n-24) -14200570820292855618*a(n-25) +4933038051210846228*a(n-26) +121923504924728603388*a(n-27) +52474796461057469094*a(n-28) -30538079023585585398*a(n-29) -222054875088428821296*a(n-30) -91736127865855628064*a(n-31) +39487590742475148507*a(n-32) +209302845576269887989*a(n-33) +78792534262866403350*a(n-34) -17001246490161448158*a(n-35) -96859167073890574815*a(n-36) -32673670250751685449*a(n-37) -2676845372080260168*a(n-38) +15567696927615569040*a(n-39) +2895487557944223645*a(n-40) +431431133822161155*a(n-41) -956115578280340350*a(n-42) -122812151513809050*a(n-43) -17581742382591225*a(n-44) +27717056908124625*a(n-45) +1794489533127000*a(n-46) +366973435764000*a(n-47) -351778279320000*a(n-48)
EXAMPLE
Some solutions for n=3
..0..0..0..0..0..0..1....0..0..0..1..1..0..0....0..0..0..0..1..1..0
..0..1..1..1..1..1..1....0..1..0..1..1..0..1....0..1..0..1..0..0..1
..0..1..1..0..1..0..1....0..0..0..0..1..0..1....0..0..1..1..1..1..0
CROSSREFS
Sequence in context: A091749 A218425 A094777 * A331015 A093257 A210148
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 04 2012
STATUS
approved

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)