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A189653 Number of 5Xn array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally 1
1, 450, 17655, 2631821, 250758892, 30010432933, 3292827578005, 376678790309002, 42358721253919843, 4801283687544580305, 542386040165423966236, 61365524584279523157641, 6938297347463763255984633 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Row 5 of A189650
LINKS
FORMULA
Empirical: a(n) = 107*a(n-1) +4303*a(n-2) -406534*a(n-3) -4329464*a(n-4) +466840808*a(n-5) +1338922608*a(n-6) -227992823136*a(n-7) +90951697440*a(n-8) +53386064289152*a(n-9) -108406327693184*a(n-10) -5771603989188608*a(n-11) +11703591191155200*a(n-12) +172452239709961728*a(n-13) +1498301110046938112*a(n-14) +14910534867774803968*a(n-15) -369954950790874443776*a(n-16) -1122779731327948267520*a(n-17) +27415171459521008320512*a(n-18) +13113077428590656225280*a(n-19) -948436399977700515119104*a(n-20) +718072262953029442207744*a(n-21) +15306605215443650927919104*a(n-22) -23785626604164302597783552*a(n-23) -63183460656377361227317248*a(n-24) +336913590202586242004025344*a(n-25) -1367838179233684601582911488*a(n-26) -4565130350432220898859679744*a(n-27) +19045513342601064393182543872*a(n-28) +60860396016352702310591234048*a(n-29) -56998115344223218475739381760*a(n-30) -453823691284753050683438006272*a(n-31) -393736729027557466236264644608*a(n-32) +1251233979672582675419566702592*a(n-33) +2823288040816995497010406621184*a(n-34) +1031231653598246771565784989696*a(n-35) -4399440162748647480754025005056*a(n-36) -7005172700570647534593105723392*a(n-37) -5260712228450985579008097255424*a(n-38) +2261097267196132807937693319168*a(n-39) +15111807638739449523277750337536*a(n-40) +13977227635584971692638723899392*a(n-41) +9954649350974934287262941184000*a(n-42) -14775252650126481676321748418560*a(n-43) -9222257769877287745000803663872*a(n-44) -9509714054063086127993984122880*a(n-45) -10587625049850095971602849071104*a(n-46) -2743801275209083294223179972608*a(n-47) -6363253539914382491808868335616*a(n-48) +1802733977560574408772213014528*a(n-49) +613085944850739567921947738112*a(n-50) -58537072347407169574936772608*a(n-51) +18124814447614224314725826560*a(n-52) +3190355237963006392049598464*a(n-53)
EXAMPLE
Some solutions for 5X3
..0..2..1....0..3..4....0..3..2....0..2..4....0..1..2....4..1..2....0..3..4
..3..6..5....1..2..5....1..5..4....1..6..5....3..4..5....3..0..5....1..2..7
..4.11..8....6..9.10...10..6..7...10..3..8....7..6..8....6..8..7....6..5..8
..9.14..7....7..8.13...13..8.11....9.12..7....9.11.10...13.10.11...10.12.11
.10.12.13...12.11.14...12..9.14...13.11.14...12.13.14...12..9.14...13..9.14
CROSSREFS
Sequence in context: A204719 A235403 A204958 * A232035 A035752 A107548
KEYWORD
nonn
AUTHOR
R. H. Hardin Apr 24 2011
STATUS
approved

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Last modified December 8 23:37 EST 2023. Contains 367681 sequences. (Running on oeis4.)