A208714 Number of 7Xn 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

64, 8192, 470596, 32826932, 2197585152, 148378294612, 10001404535216, 674377684576244, 45469018462135036, 3065730121209679464, 206705069561616591752, 13936976009963742623304, 939692881392900459541604

Offset

1,1

Comments

Row 7 of A208709

Links

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

Formula

Empirical: a(n) = 65*a(n-1) +627*a(n-2) -30321*a(n-3) -153077*a(n-4) +5945575*a(n-5) +18847620*a(n-6) -640746940*a(n-7) -1246405727*a(n-8) +41621674173*a(n-9) +41928529920*a(n-10) -1682537371818*a(n-11) -485939889784*a(n-12) +42470072496810*a(n-13) -7922558403350*a(n-14) -670631027035048*a(n-15) +263270391431374*a(n-16) +6891425474219622*a(n-17) -2981854723927120*a(n-18) -47958233567951820*a(n-19) +19158642427965583*a(n-20) +233689019176978229*a(n-21) -80444594354181108*a(n-22) -818697039909889268*a(n-23) +236932769597213271*a(n-24) +2103792244691072929*a(n-25) -510796859975575345*a(n-26) -4022353774281500743*a(n-27) +828086071154701580*a(n-28) +5775946939404815328*a(n-29) -1026257054012229820*a(n-30) -6261507257443570876*a(n-31) +981060297866884393*a(n-32) +5132543866827487875*a(n-33) -726522411180908276*a(n-34) -3176069805803038448*a(n-35) +417716564447897336*a(n-36) +1476876535603317556*a(n-37) -186762327908567644*a(n-38) -511997227744881276*a(n-39) +64892478481747971*a(n-40) +130748670223110539*a(n-41) -17389966007346019*a(n-42) -24152905795977169*a(n-43) +3524834326494224*a(n-44) +3136398901415920*a(n-45) -522475730056453*a(n-46) -272599169920989*a(n-47) +53880467491068*a(n-48) +14382008342084*a(n-49) -3588181598882*a(n-50) -348878204572*a(n-51) +135362926032*a(n-52) -2053245952*a(n-53) -2067930688*a(n-54) +201866496*a(n-55) -5564416*a(n-56) for n>61

Example

Some solutions for n=4
..0..1..0..0....0..1..0..0....0..1..0..1....0..0..0..1....0..1..0..0
..1..1..1..1....1..1..0..0....0..1..0..0....0..1..1..1....1..0..1..1
..0..0..1..1....0..0..1..1....0..1..1..0....1..0..0..1....1..0..0..1
..1..1..0..0....1..0..1..1....0..0..1..0....1..1..1..0....1..1..1..0
..1..0..1..1....0..0..1..0....0..0..1..1....0..1..0..0....0..0..0..1
..1..1..0..0....0..1..0..0....1..0..0..0....0..1..0..0....0..1..0..1
..1..0..1..1....1..1..1..1....0..1..0..1....0..1..1..1....0..0..0..0

Crossrefs

Sequence in context: A302813 A303474 A305522 * A316959 A316814 A320370

Adjacent sequences: A208711 A208712 A208713 * A208715 A208716 A208717

Keyword

nonn

Author

R. H. Hardin Mar 01 2012

Status

approved