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

Author

R. H. Hardin, Feb 20 2016

Keywords

• nonn

Comments

Column 5 of A269186.

Examples

			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
		

Links

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

Crossrefs

Cf. A269186.

Formula

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