A222166 Number of nX5 0..4 arrays with entries increasing mod 5 by 0, 1 or 2 rightwards and downwards, starting with upper left zero

81, 4913, 317259, 20780181, 1366395515, 89948464453, 5923189816253, 390086038882651, 25690815631493191, 1691995329032459285, 111434983000652039093, 7339124863989795685471, 483355986017042494039859

Offset

1,1

Comments

Column 5 of A222169

Links

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

Formula

Empirical: a(n) = 115*a(n-1) -4157*a(n-2) +69117*a(n-3) -595705*a(n-4) +2449306*a(n-5) -240335*a(n-6) -43350087*a(n-7) +178528425*a(n-8) -183199822*a(n-9) -751284432*a(n-10) +2871335435*a(n-11) -3549608757*a(n-12) -650892687*a(n-13) +7285361378*a(n-14) -9372087568*a(n-15) +5616780205*a(n-16) -1330498112*a(n-17) -261001088*a(n-18) +232979629*a(n-19) -45081325*a(n-20) -1230938*a(n-21) +1537784*a(n-22) -190656*a(n-23) +8208*a(n-24) -108*a(n-25)

Example

Some solutions for n=3
..0..0..1..1..3....0..0..1..2..4....0..0..1..2..3....0..0..1..2..2
..1..1..1..3..4....1..1..3..4..1....1..1..2..3..3....0..1..1..2..4
..1..2..2..3..0....1..3..0..1..3....3..3..4..0..0....2..2..2..2..4

Crossrefs

Sequence in context: A264193 A232952 A205285 * A219728 A187454 A206406

Adjacent sequences: A222163 A222164 A222165 * A222167 A222168 A222169

Keyword

nonn

Author

R. H. Hardin Feb 10 2013

Status

approved