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A250330 Number of length n+5 0..2 arrays with every six consecutive terms having the maximum of some three terms equal to the minimum of the remaining three terms 1
429, 907, 1989, 4409, 9771, 21523, 46941, 103647, 231359, 519971, 1173309, 2653425, 6007299, 13619431, 30926845, 70334253, 160147165, 364949359, 832160153, 1898373297, 4332302875, 9889970325, 22583477831, 51580084263, 117827533127 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A250336

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +5*a(n-3) -5*a(n-4) -4*a(n-5) +10*a(n-6) -15*a(n-7) -16*a(n-8) -118*a(n-9) -13*a(n-10) +87*a(n-11) +95*a(n-12) +182*a(n-13) +133*a(n-14) +1000*a(n-15) +610*a(n-16) -188*a(n-17) -1573*a(n-18) -1964*a(n-19) -1394*a(n-20) -4016*a(n-21) -3577*a(n-22) -7*a(n-23) +8359*a(n-24) +10820*a(n-25) +6498*a(n-26) +6153*a(n-27) +5228*a(n-28) -302*a(n-29) -18531*a(n-30) -24789*a(n-31) -16390*a(n-32) -1291*a(n-33) +533*a(n-34) +5247*a(n-35) +19234*a(n-36) +33351*a(n-37) +20764*a(n-38) -4971*a(n-39) -15954*a(n-40) -13104*a(n-41) -14171*a(n-42) -19795*a(n-43) -9871*a(n-44) +11343*a(n-45) +18399*a(n-46) +10225*a(n-47) +2853*a(n-48) +3528*a(n-49) +2083*a(n-50) -6012*a(n-51) -9034*a(n-52) -5291*a(n-53) +665*a(n-54) +1582*a(n-55) +80*a(n-56) +1584*a(n-57) +1604*a(n-58) +1936*a(n-59) -720*a(n-60) -720*a(n-61) -224*a(n-62) -40*a(n-63) +96*a(n-64) -448*a(n-65) +64*a(n-66) +96*a(n-67) +160*a(n-68) -64*a(n-70)

EXAMPLE

Some solutions for n=6

..2....2....2....2....0....2....2....0....2....1....0....2....0....2....1....2

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

..1....1....0....2....0....1....0....1....2....0....0....2....0....2....1....1

..1....0....2....1....2....2....2....1....2....2....2....0....1....1....1....1

..1....2....1....1....0....1....0....1....2....1....0....1....2....1....2....1

..1....1....1....1....0....1....1....0....1....1....0....1....1....1....0....2

..0....2....1....2....0....1....1....2....2....0....2....1....0....1....1....0

..0....0....2....1....0....1....1....1....2....2....0....2....1....0....0....0

..1....1....0....2....0....0....1....0....2....1....0....1....1....1....1....2

..1....0....1....1....2....2....2....1....2....1....0....1....0....2....2....1

..2....2....1....0....0....0....2....2....2....0....1....1....1....2....2....1

CROSSREFS

Sequence in context: A320712 A338344 A203612 * A034278 A116870 A064061

Adjacent sequences:  A250327 A250328 A250329 * A250331 A250332 A250333

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2014

STATUS

approved

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Last modified June 22 05:44 EDT 2021. Contains 345367 sequences. (Running on oeis4.)