A269183 Number of nX5 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three exactly once.

432, 18336, 1031344, 52394312, 2563440512, 121792778352, 5665397992608, 259306140235672, 11718368891185840, 524154208020159720, 23247356088445416368, 1023776741213223461792, 44814164049516781057936

Offset

1,1

Comments

Column 5 of A269186.

Links

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

Formula

Empirical: a(n) = 118*a(n-1) -5041*a(n-2) +93278*a(n-3) -616456*a(n-4) -3048560*a(n-5) +60109885*a(n-6) -129687930*a(n-7) -1739169369*a(n-8) +8259890048*a(n-9) +20240706091*a(n-10) -173579758748*a(n-11) -34263378926*a(n-12) +1854959811756*a(n-13) -1352133363698*a(n-14) -11158815731728*a(n-15) +13195242387667*a(n-16) +40081045519402*a(n-17) -56960114535700*a(n-18) -88448187207398*a(n-19) +137934077935370*a(n-20) +119462198991804*a(n-21) -202996386004581*a(n-22) -94913498792266*a(n-23) +187975033925075*a(n-24) +38342927037264*a(n-25) -110576189373568*a(n-26) -1510870946200*a(n-27) +40619114535308*a(n-28) -5466962964240*a(n-29) -8777770697408*a(n-30) +2325318442944*a(n-31) +946747193728*a(n-32) -404404766528*a(n-33) -21593127872*a(n-34) +28030228480*a(n-35) -2948913408*a(n-36) -308060672*a(n-37) +51977984*a(n-38) +752640*a(n-39) -230400*a(n-40) for n>41

Example

Some solutions for n=2
..3..3..2..1..3. .1..3..1..1..0. .2..2..0..2..2. .1..0..0..0..2
..3..3..3..3..1. .3..3..3..3..1. .3..2..3..2..2. .1..1..2..2..0

Crossrefs

Cf. A269186.

Sequence in context: A230922 A109123 A223688 * A228105 A232905 A282752

Adjacent sequences: A269180 A269181 A269182 * A269184 A269185 A269186

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved