A232905 Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally

432, 27692, 1825972, 115154048, 7517844304, 485354122160, 31320663237216, 2024849938767040, 130826030730696144, 8452502440791870368, 546148846629471163136, 35288014319342183094576, 2280040329256855303811792

Offset

1,1

Comments

Column 5 of A232908

Links

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

Formula

Empirical: a(n) = 30*a(n-1) +873*a(n-2) +69495*a(n-3) +866209*a(n-4) +21470200*a(n-5) -18907782*a(n-6) +2288922926*a(n-7) -17008060399*a(n-8) +175266608090*a(n-9) -1404853187879*a(n-10) +7270460293375*a(n-11) -33996137087269*a(n-12) +98994746257608*a(n-13) -249827572963076*a(n-14) +1112688163496996*a(n-15) -5640651621370116*a(n-16) +7041588254771264*a(n-17) +1919878834793920*a(n-18) +23490661161302080*a(n-19) -60365548542231296*a(n-20) -15999446979024384*a(n-21) +26128726800941312*a(n-22) -21473298342000384*a(n-23) +172863368377786368*a(n-24) +337889099667988480*a(n-25) +41253935147253760*a(n-26) -65455034362691584*a(n-27) +21767970681257984*a(n-28) +26016245392343040*a(n-29) -5214678607200256*a(n-30) -3666850810429440*a(n-31) -457053239771136*a(n-32) -35734127902720*a(n-33) -4398046511104*a(n-34) for n>35

Example

Some solutions for n=2
..2..1..2..2..0..1....0..1..1..2..1..0....2..1..1..0..1..2....0..1..0..0..2..1
..0..1..1..0..2..0....2..0..0..2..1..2....0..2..2..1..2..0....2..1..1..1..0..0
..2..1..0..0..1..2....0..1..2..0..1..0....2..1..0..0..1..2....2..2..2..2..1..2

Crossrefs

Sequence in context: A223688 A269183 A228105 * A282752 A290180 A281986

Adjacent sequences: A232902 A232903 A232904 * A232906 A232907 A232908

Keyword

nonn

Author

R. H. Hardin, Dec 02 2013

Status

approved