A269293 Number of 5Xn 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once.
1024, 314928, 43674876, 5306911092, 598478857956, 64538382287988, 6751724437907820, 691013309706097812, 69557358002931376452, 6911040753656957427300, 679500524238978108503340
Offset: 1
Keywords
Examples
Some solutions for n=2 ..0..1. .0..0. .1..0. .1..3. .1..3. .2..2. .2..0. .0..2. .0..1. .0..0 ..3..3. .0..3. .1..0. .1..1. .2..2. .0..1. .2..3. .0..0. .2..0. .1..0 ..1..0. .1..0. .2..2. .0..2. .3..2. .1..1. .2..2. .2..1. .1..3. .1..3 ..0..0. .0..2. .2..0. .0..3. .3..0. .3..1. .3..2. .3..1. .1..0. .0..0 ..2..2. .2..3. .1..2. .2..3. .0..0. .0..1. .2..1. .1..1. .1..1. .0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A269289.
Formula
Empirical: a(n) = 262*a(n-1) -25913*a(n-2) +1271424*a(n-3) -36373480*a(n-4) +662028380*a(n-5) -8018113210*a(n-6) +65608158980*a(n-7) -356568260410*a(n-8) +1185405035940*a(n-9) -1609856308508*a(n-10) -4162483461884*a(n-11) +23709461283851*a(n-12) -40474763971218*a(n-13) +272846513475*a(n-14) +106799477038956*a(n-15) -171480164894532*a(n-16) +115612142099328*a(n-17) -29562621871104*a(n-18) for n>23
Comments