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

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

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