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A188770 Number of nX5 binary arrays without the pattern 0 1 0 vertically or horizontally 1
21, 441, 5357, 60215, 738031, 9260851, 114928827, 1418719059, 17534258973, 216934553467, 2683742012463, 33195135531017, 410584897617051, 5078597128434733, 62818418192287393, 777013463038269315 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A188774

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 12*a(n-1) -34*a(n-2) +349*a(n-3) +1777*a(n-4) -2954*a(n-5) +16428*a(n-6) -50372*a(n-7) -826452*a(n-8) -284808*a(n-9) +2677029*a(n-10) +7103943*a(n-11) +84848429*a(n-12) +92733632*a(n-13) -704130678*a(n-14) -1408367121*a(n-15) -170953276*a(n-16) +2530631860*a(n-17) +15426821098*a(n-18) +26026362695*a(n-19) -10562390615*a(n-20) -63303657046*a(n-21) -186442796778*a(n-22) -294709147635*a(n-23) +52891360993*a(n-24) +470509771394*a(n-25) +1401923559917*a(n-26) +2366816377369*a(n-27) +847969028551*a(n-28) -236781572071*a(n-29) -5197208853480*a(n-30) -9799362882578*a(n-31) -8117532389762*a(n-32) -11659304320720*a(n-33) +2726011701444*a(n-34) +4079145059625*a(n-35) +12257366411312*a(n-36) +15768165034291*a(n-37) +2100988995383*a(n-38) +5307745327989*a(n-39) -9786415785169*a(n-40) -7875869693149*a(n-41) -3846427592880*a(n-42) -5445730695613*a(n-43) +4410839511443*a(n-44) +1545211814877*a(n-45) +1949821109517*a(n-46) +1917312603154*a(n-47) -1325513042612*a(n-48) -154693016638*a(n-49) -407142438623*a(n-50) -368447878313*a(n-51) +291082101634*a(n-52) +31398804662*a(n-53) +22130829827*a(n-54) +40030081560*a(n-55) -37025725802*a(n-56) -6898111152*a(n-57) +4080211514*a(n-58) -1734054000*a(n-59) +1712530236*a(n-60) +550479816*a(n-61) -445020240*a(n-62) -11156224*a(n-63) +9983040*a(n-64) -10775392*a(n-65) +6661280*a(n-66) +980928*a(n-67) -544448*a(n-68) +43968*a(n-69) -23040*a(n-70) -6912*a(n-71) +3072*a(n-72)

EXAMPLE

Some solutions for 3X5

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

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

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

CROSSREFS

Sequence in context: A189613 A224265 A206886 * A223922 A224350 A224192

Adjacent sequences:  A188767 A188768 A188769 * A188771 A188772 A188773

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 09 2011

STATUS

approved

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Last modified January 25 07:34 EST 2020. Contains 331241 sequences. (Running on oeis4.)