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A206874 Number of 5Xn 0..1 arrays avoiding 0 0 0 horizontally and 1 0 1 vertically 1
21, 441, 3967, 55063, 728935, 8942469, 115505069, 1476136671, 18751133599, 239558002631, 3055238118019, 38950706917793, 496876286463839, 6336882323606735, 80816445128377245, 1030742612403238579 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A206871

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +48*a(n-2) +850*a(n-3) +269*a(n-4) -1283*a(n-5) -112004*a(n-6) +55620*a(n-7) -328963*a(n-8) +6225404*a(n-9) -5144830*a(n-10) +19504184*a(n-11) -179753913*a(n-12) +160248093*a(n-13) -452956137*a(n-14) +2970444667*a(n-15) -2483300908*a(n-16) +5290903713*a(n-17) -29217406372*a(n-18) +21179704633*a(n-19) -32922474476*a(n-20) +176676633881*a(n-21) -107878328813*a(n-22) +115228329766*a(n-23) -691831659906*a(n-24) +354865460342*a(n-25) -224391466494*a(n-26) +1832149406822*a(n-27) -797809297324*a(n-28) +185379567606*a(n-29) -3375546001386*a(n-30) +1269658609914*a(n-31) +155497400051*a(n-32) +4393034335280*a(n-33) -1452162122270*a(n-34) -598337059194*a(n-35) -4060066383053*a(n-36) +1190926493295*a(n-37) +740377635554*a(n-38) +2658470816096*a(n-39) -689039861347*a(n-40) -517168949858*a(n-41) -1223411447208*a(n-42) +272750757666*a(n-43) +220876526733*a(n-44) +390145740717*a(n-45) -71136809597*a(n-46) -58157675413*a(n-47) -84517177894*a(n-48) +11809121027*a(n-49) +9321899242*a(n-50) +12109980855*a(n-51) -1204432124*a(n-52) -883474981*a(n-53) -1105399073*a(n-54) +70798678*a(n-55) +46295560*a(n-56) +60187544*a(n-57) -2129908*a(n-58) -1176712*a(n-59) -1721408*a(n-60) +24928*a(n-61) +11072*a(n-62) +19200*a(n-63)

EXAMPLE

Some solutions for n=4

..0..1..0..0....1..1..0..0....0..0..1..0....0..0..1..1....0..0..1..1

..0..1..1..1....0..0..1..1....0..1..1..1....1..0..1..0....0..0..1..0

..0..0..1..0....0..0..1..1....1..0..1..1....1..1..0..0....1..0..1..0

..1..0..1..0....0..0..1..0....1..0..0..1....1..1..0..0....0..1..1..0

..0..1..0..1....0..1..0..0....1..1..0..1....1..1..1..0....0..0..1..0

CROSSREFS

Sequence in context: A188691 A207430 A208372 * A188504 A206880 A206997

Adjacent sequences:  A206871 A206872 A206873 * A206875 A206876 A206877

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 13 2012

STATUS

approved

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Last modified May 16 21:13 EDT 2022. Contains 353720 sequences. (Running on oeis4.)