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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A269194.
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
Comments