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
Keywords
Examples
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
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
Comments