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A222387 Sum of neighbor maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal and antidiagonal neighbors in a random 0..2 2Xn array 1
4, 16, 48, 248, 1024, 3968, 15872, 65536, 262144, 1048576, 4177632, 16777216, 67108864, 268435456, 1073479680, 4294961152, 17179869184, 68719378432, 274872664064, 1099511627776, 4398046511104, 17592186044416, 70368641459200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A222386

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +32*a(n-4) -128*a(n-5) -256*a(n-8) +1024*a(n-9) +592*a(n-12) -2368*a(n-13) -18944*a(n-16) +75776*a(n-17) +151552*a(n-20) -606208*a(n-21) -109056*a(n-24) +436224*a(n-25) +3489792*a(n-28) -13959168*a(n-29) -27918336*a(n-32) +111673344*a(n-33) +6594560*a(n-36) -26378240*a(n-37) -211025920*a(n-40) +844103680*a(n-41) +1688207360*a(n-44) -6752829440*a(n-45) -189071360*a(n-48) +756285440*a(n-49) +6050283520*a(n-52) -24201134080*a(n-53) -48402268160*a(n-56) +193609072640*a(n-57) +2853175296*a(n-60) -11412701184*a(n-61) -91301609472*a(n-64) +365206437888*a(n-65) +730412875776*a(n-68) -2921651503104*a(n-69) -22011707392*a(n-72) +88046829568*a(n-73) +704374636544*a(n-76) -2817498546176*a(n-77) -5634997092352*a(n-80) +22539988369408*a(n-81) +68719476736*a(n-84) -274877906944*a(n-85) -2199023255552*a(n-88) +8796093022208*a(n-89) +17592186044416*a(n-92) -70368744177664*a(n-93)

EXAMPLE

Some solutions for n=3

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

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

CROSSREFS

Sequence in context: A034918 A119003 A220329 * A222936 A119005 A237986

Adjacent sequences:  A222384 A222385 A222386 * A222388 A222389 A222390

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 18 2013

STATUS

approved

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Last modified September 19 10:41 EDT 2020. Contains 337178 sequences. (Running on oeis4.)