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A204725 Number of (n+1)X2 0..4 arrays with the permanents of all 2X2 subblocks equal and nonzero 1
544, 1624, 4772, 15688, 50920, 171860, 576738, 1965706, 6689546, 22932416, 78640444, 270790262, 933412812, 3226219066, 11165062980, 38716535168, 134425106068, 467465565780, 1627539663062, 5673849033360, 19801040277874 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204732

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) -6*a(n-2) -1453*a(n-3) +5989*a(n-4) +54904*a(n-5) -376437*a(n-6) -1124718*a(n-7) +12885441*a(n-8) +9824021*a(n-9) -299089063*a(n-10) +136794863*a(n-11) +5143341594*a(n-12) -6654802733*a(n-13) -68713752671*a(n-14) +135247972321*a(n-15) +733749086021*a(n-16) -1901056947304*a(n-17) -6371861813170*a(n-18) +20643438955113*a(n-19) +45411209274595*a(n-20) -181521577194518*a(n-21) -265934817015805*a(n-22) +1326312298505382*a(n-23) +1267547363641814*a(n-24) -8183501086755675*a(n-25) -4767857337209038*a(n-26) +43101950230086813*a(n-27) +12870568043135016*a(n-28) -195234359421410093*a(n-29) -14890661984110599*a(n-30) +764452229346783442*a(n-31) -77531088196837422*a(n-32) -2596329374045182101*a(n-33) +637776097729103043*a(n-34) +7664073829869144135*a(n-35) -2790384079295703952*a(n-36) -19679120377392268938*a(n-37) +9096553853725805068*a(n-38) +43942008884145337956*a(n-39) -23914056547661798848*a(n-40) -85213292114896731909*a(n-41) +52253028310654768742*a(n-42) +143168425922093893575*a(n-43) -96182393250133833669*a(n-44) -207663334055191053965*a(n-45) +150001805879728936062*a(n-46) +258788221724859409731*a(n-47) -198467556624784823500*a(n-48) -275322233323907913538*a(n-49) +222398368625596279757*a(n-50) +248015104949327122681*a(n-51) -210185863780992066148*a(n-52) -187168373921127750696*a(n-53) +166443203409124163978*a(n-54) +116692179828984744308*a(n-55) -109443116048396672187*a(n-56) -58982145771736199149*a(n-57) +59041396651371309515*a(n-58) +23530322842213255477*a(n-59) -25723768238825035745*a(n-60) -7105945906667904209*a(n-61) +8865612799874621796*a(n-62) +1503688019228111306*a(n-63) -2350561716409794886*a(n-64) -181281673078193242*a(n-65) +461254360638059052*a(n-66) -971612859305604*a(n-67) -63328344836906800*a(n-68) +4341364273396488*a(n-69) +5569259580934368*a(n-70) -682390200020688*a(n-71) -267677547954912*a(n-72) +44147109032640*a(n-73) +4765061193408*a(n-74) -971911664640*a(n-75) +13488249600*a(n-76)

EXAMPLE

Some solutions for n=4

..4..0....2..0....2..3....3..2....2..0....1..2....3..2....4..2....4..2....4..4

..2..3....1..4....1..3....0..1....4..1....4..3....2..2....4..3....3..1....4..4

..2..3....1..4....2..3....3..0....2..0....1..2....1..4....4..2....1..3....4..4

..4..0....1..4....3..0....3..1....0..1....4..3....2..2....4..3....2..4....4..4

..3..3....1..4....3..3....0..1....2..1....1..2....2..3....4..2....1..3....4..4

CROSSREFS

Sequence in context: A250685 A051305 A204732 * A266136 A204724 A168564

Adjacent sequences:  A204722 A204723 A204724 * A204726 A204727 A204728

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 18 2012

STATUS

approved

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Last modified October 27 10:23 EDT 2021. Contains 348274 sequences. (Running on oeis4.)