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A202402 Number of (n+2) X 6 binary arrays avoiding patterns 000 and 010 in rows and columns. 1
7225, 83521, 1147041, 15752961, 204518601, 2655237841, 35242177441, 467758877041, 6151258109929, 80892053988001, 1067989132090609, 14100282166562881, 185843948311711089, 2449452622018343841 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A202406.

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) -80*a(n-2) +844*a(n-3) +1004*a(n-4) -35544*a(n-5) +115456*a(n-6) -914564*a(n-7) +444940*a(n-8) +16058184*a(n-9) -40701152*a(n-10) +258860924*a(n-11) -308461204*a(n-12) -1949167256*a(n-13) +3816441696*a(n-14) -19578168100*a(n-15) +28744770072*a(n-16) +77026330196*a(n-17) -103155476592*a(n-18) +388573499036*a(n-19) -607461138756*a(n-20) -1242707886616*a(n-21) +1231928899008*a(n-22) -2762196574420*a(n-23) +4696440435372*a(n-24) +8074621589336*a(n-25) -6227432964928*a(n-26) +8725037408588*a(n-27) -15844024443908*a(n-28) -22686435500376*a(n-29) +12767215026080*a(n-30) -14603301394996*a(n-31) +23997892650910*a(n-32) +27857016656298*a(n-33) -9998958946352*a(n-34) +13206126361508*a(n-35) -13804078162172*a(n-36) -13021464255560*a(n-37) +4470604535936*a(n-38) -4224455602956*a(n-39) +3300210352260*a(n-40) +2630400942136*a(n-41) -975094435296*a(n-42) +564657864628*a(n-43) -353026216956*a(n-44) -244914369416*a(n-45) +98622692256*a(n-46) -33763821932*a(n-47) +16646619840*a(n-48) +10210503028*a(n-49) -4368385296*a(n-50) +927479668*a(n-51) -323553964*a(n-52) -167107784*a(n-53) +74050240*a(n-54) -12894364*a(n-55) +3092036*a(n-56) +862120*a(n-57) -429056*a(n-58) +74372*a(n-59) -14444*a(n-60) +376*a(n-61) +352*a(n-62) -60*a(n-63) +11*a(n-64) -a(n-65)

EXAMPLE

Some solutions for n=2

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

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

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

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

CROSSREFS

Sequence in context: A181259 A250054 A346594 * A206469 A031583 A031763

Adjacent sequences:  A202399 A202400 A202401 * A202403 A202404 A202405

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2011

STATUS

approved

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Last modified June 29 05:16 EDT 2022. Contains 354910 sequences. (Running on oeis4.)