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A189250 Number of nX5 array permutations with each element making zero or one king moves 1
8, 8448, 1818336, 637586496, 194762146816, 62111749014784, 19568579061640704, 6188469597764755456, 1954975627547701307392, 617793023145579401433088, 195210690041588272450666496, 61684603710077597393322917888 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A189254
LINKS
FORMULA
Empirical: a(n) = 306*a(n-1) +14084*a(n-2) -3413208*a(n-3) -37913760*a(n-4) +8041363520*a(n-5) +7688826048*a(n-6) -6889761706624*a(n-7) +5202653015808*a(n-8) +2802990333573632*a(n-9) +6790227351584768*a(n-10) -685857854458576896*a(n-11) -5372869001388253184*a(n-12) +116164522590448566272*a(n-13) +1256789003575108927488*a(n-14) -12036143805249992589312*a(n-15) -142057852914628144398336*a(n-16) +683316680811034016481280*a(n-17) +8712086151000102590218240*a(n-18) -20982360025136584182464512*a(n-19) -305170070109551820472844288*a(n-20) +390572789229382186934730752*a(n-21) +6546500740363863628181405696*a(n-22) -5637881394993849134168932352*a(n-23) -93018389080728146789938495488*a(n-24) +78010006763315815363184164864*a(n-25) +938532475978901353401761660928*a(n-26) -935967387951105246060341100544*a(n-27) -6982213489888968493175154933760*a(n-28) +8208536967855964007383840063488*a(n-29) +39282469839804826862212505141248*a(n-30) -49486474219645506705232888856576*a(n-31) -176989359286385376521393885151232*a(n-32) +218162101995909369906474371776512*a(n-33) +660664519366159029203710007836672*a(n-34) -807327523225250130720326915457024*a(n-35) -1854716951333209150350914899410944*a(n-36) +2438769433212246552233842789318656*a(n-37) +3459765062072259416271709299277824*a(n-38) -5166969359086050195655423057461248*a(n-39) -3804557769955258800724459934187520*a(n-40) +6687224973041483611579174526910464*a(n-41) +1954196501306439388375809209139200*a(n-42) -4445500346232178934795207645855744*a(n-43) -410453643009045559599373546946560*a(n-44) +769221483476061219363229324541952*a(n-45) +360532064443933187500208881139712*a(n-46) +441276677000374259250463602900992*a(n-47) -22984496745428881982229057634304*a(n-48) -86322375040741113884861240705024*a(n-49) -6338178283858655043956944928768*a(n-50) +2155843450859023408765146759168*a(n-51) +80416536594945518072280121344*a(n-52) -7344224354158872236340019200*a(n-53)
EXAMPLE
Some solutions for 3X5
..0..5..2..8..9....0..5..1..4..8....0..5..1..7..8....0..5..6..7..4
.10..1..3.13..4...10..7..2..3..9....6..2..3.14..4....1.12..2..3.13
..6..7.11.12.14....6.12.11.13.14...10.11.12.13..9...11.10..8.14..9
CROSSREFS
Sequence in context: A057107 A320864 A052152 * A217025 A268152 A230397
KEYWORD
nonn
AUTHOR
R. H. Hardin Apr 19 2011
STATUS
approved

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Last modified June 7 16:42 EDT 2024. Contains 373203 sequences. (Running on oeis4.)