A269191 Number of nX5 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

756, 27684, 1399612, 67134380, 3159954052, 145995171708, 6648192704604, 299224791093196, 13339889117822420, 590022908205332548, 25923065488446232140, 1132469284935764232244, 49229470523358865713156

Offset

1,1

Comments

Column 5 of A269194.

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
..1..0..2..0..0. .1..1..0..0..1. .0..0..1..3..3. .1..1..2..2..3
..0..0..2..0..2. .0..1..1..1..1. .2..0..1..3..2. .1..0..0..2..3

Crossrefs

Cf. A269194.

Sequence in context: A018898 A004048 A037191 * A269140 A269198 A269106

Adjacent sequences: A269188 A269189 A269190 * A269192 A269193 A269194

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved