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A220593
Number of ways to reciprocally link elements of an nX5 array either to themselves or to exactly two king-move neighbors
1
1, 710, 87542, 14637699, 2255735554, 353961472626, 55328483420671, 8656054653129245, 1353957601128808937, 211791911899744586559, 33129080955482077904517, 5182154625560131126048496
OFFSET
1,2
COMMENTS
Column 5 of A220595
LINKS
FORMULA
Empirical: a(n) = 112*a(n-1) +6625*a(n-2) +51687*a(n-3) -77514*a(n-4) -9913043*a(n-5) -481862998*a(n-6) -7624867626*a(n-7) +80278900190*a(n-8) +1922699957756*a(n-9) -11512713350481*a(n-10) -89836020293005*a(n-11) +510939925992890*a(n-12) +1272057042986585*a(n-13) -10028260180262619*a(n-14) -674026152718710*a(n-15) +89042868902978222*a(n-16) -135080347616099473*a(n-17) -211813818317368298*a(n-18) +1076291523495951188*a(n-19) -817538694971478207*a(n-20) -517262096647578983*a(n-21) -1929965121460870140*a(n-22) -10937614391206234904*a(n-23) +55607980886328833684*a(n-24) +27547116753732321486*a(n-25) -175798403767439769756*a(n-26) -125077291364324994556*a(n-27) +318537722921963640799*a(n-28) +307402141824909705122*a(n-29) -369487338154992312400*a(n-30) -429293016697272862957*a(n-31) +338980726882541973967*a(n-32) +401397496642432492114*a(n-33) -313515999105025748361*a(n-34) -319417783538912010477*a(n-35) +249573874867109596239*a(n-36) +258029429108563352633*a(n-37) -103902653803039211762*a(n-38) -165119393098406742186*a(n-39) -14227673827278442219*a(n-40) +55211369435309708385*a(n-41) +30492701912798196562*a(n-42) -1671409577867415142*a(n-43) -8657505421407424231*a(n-44) -2653639462480574379*a(n-45) +990204290275675872*a(n-46) +700461013394181751*a(n-47) -34158924114212500*a(n-48) -101662669294685422*a(n-49) -14284740529554986*a(n-50) +4833663144715280*a(n-51) +1684337362790320*a(n-52) +222766775664902*a(n-53) +24229042829576*a(n-54) -6452731869030*a(n-55) -3085809779360*a(n-56) -83793636888*a(n-57) +25784489392*a(n-58) -729155328*a(n-59) +105380352*a(n-60)
EXAMPLE
Some solutions for n=3 0=self 1=nw 2=n 3=ne 4=w 6=e 7=sw 8=s 9=se (reciprocal directions total 10)
.68.46.49.79.00...68.49.67.49.00...68.49.00.68.48...00.67.47.67.47
.29.89.38.19.18...29.36.14.79.18...26.47.19.27.28...38.37.36.34.00
.00.12.12.00.12...00.16.34.00.12...36.46.34.16.24...23.00.00.00.00
CROSSREFS
Sequence in context: A058324 A251290 A232836 * A252965 A187283 A187280
KEYWORD
nonn
AUTHOR
R. H. Hardin Dec 16 2012
STATUS
approved