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A202600 Number of (n+2)X9 binary arrays avoiding patterns 001 and 000 in rows and columns 1
459690, 21758550, 964348880, 43736102410, 1966507686990, 88713360981300, 3996920175877750, 180168408858008890, 8119835103844870560, 365972855785466396170, 16494439663710698045070, 743415055083713569371100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A202601

LINKS

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

FORMULA

Empirical: a(n) = 21*a(n-1) +1362*a(n-2) -5141*a(n-3) -378232*a(n-4) +1255341*a(n-5) +44158507*a(n-6) -191857958*a(n-7) -2403269186*a(n-8) +13016786186*a(n-9) +66005028424*a(n-10) -442776322745*a(n-11) -971637927589*a(n-12) +8555301468180*a(n-13) +8005687661997*a(n-14) -103761605014510*a(n-15) -37165051708826*a(n-16) +847812648755678*a(n-17) +100294664818006*a(n-18) -4885550785826205*a(n-19) -323795992811054*a(n-20) +20379954927296141*a(n-21) +2479587795469504*a(n-22) -62199864224140821*a(n-23) -14539209773089214*a(n-24) +138752015391384661*a(n-25) +51309443827214084*a(n-26) -224218512598561470*a(n-27) -114748027172678250*a(n-28) +259011341773155952*a(n-29) +169677904290896859*a(n-30) -210725790090074450*a(n-31) -170409989709585026*a(n-32) +118650218660703922*a(n-33) +118482787169679628*a(n-34) -44935300639703021*a(n-35) -57865563928204218*a(n-36) +10698032847617089*a(n-37) +20061231172291876*a(n-38) -1238312955725209*a(n-39) -4968377235001686*a(n-40) -83760366209031*a(n-41) +880865661995890*a(n-42) +57576327403946*a(n-43) -111593002119106*a(n-44) -10260236182888*a(n-45) +10043582511769*a(n-46) +1019184944542*a(n-47) -635209654793*a(n-48) -61866789851*a(n-49) +27673407862*a(n-50) +2293895944*a(n-51) -801689470*a(n-52) -49464928*a(n-53) +14542791*a(n-54) +558529*a(n-55) -149180*a(n-56) -2709*a(n-57) +720*a(n-58) +3*a(n-59) -a(n-60)

EXAMPLE

Some solutions for n=1

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

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

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

CROSSREFS

Sequence in context: A233926 A210402 A274811 * A114671 A270856 A295475

Adjacent sequences:  A202597 A202598 A202599 * A202601 A202602 A202603

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 21 2011

STATUS

approved

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Last modified December 7 03:00 EST 2019. Contains 329836 sequences. (Running on oeis4.)