A234032 Number of (n+1)X(4+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

7783, 300597, 11637549, 454996327, 17838321119, 700485517781, 27534564039521, 1083120462372983, 42631037830162967, 1678717801336846169, 66129497830121830117, 2605846755651877193987, 102710407745959371798411

Offset

1,1

Comments

Column 4 of A234036

Links

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

Formula

Empirical: a(n) = 110*a(n-1) -4333*a(n-2) +67258*a(n-3) -49727*a(n-4) -9381974*a(n-5) +63529143*a(n-6) +464873722*a(n-7) -5105834204*a(n-8) -11512298940*a(n-9) +199030863273*a(n-10) +171749489662*a(n-11) -4640901058548*a(n-12) -2279932923269*a(n-13) +69427761078243*a(n-14) +37219734180920*a(n-15) -679717373578792*a(n-16) -517634627173445*a(n-17) +4315879589285745*a(n-18) +4575357081875100*a(n-19) -17189611279421840*a(n-20) -24043742578423549*a(n-21) +40454429041355663*a(n-22) +73834278266333876*a(n-23) -51489559946124003*a(n-24) -132873735034278651*a(n-25) +30290331332947967*a(n-26) +146882875991746168*a(n-27) -208125301638949*a(n-28) -104800983506559948*a(n-29) -9888619515464597*a(n-30) +50085499296310162*a(n-31) +5296975913473720*a(n-32) -16275620572050062*a(n-33) -948007832112512*a(n-34) +3507290470767932*a(n-35) -86886144072040*a(n-36) -454894672567616*a(n-37) +54652514222304*a(n-38) +27282841319424*a(n-39) -5902990277920*a(n-40) -173722766592*a(n-41) +96048316160*a(n-42) -753748992*a(n-43) -473149440*a(n-44)

Example

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

Crossrefs

Sequence in context: A222339 A043520 A276144 * A290339 A234460 A253745

Adjacent sequences: A234029 A234030 A234031 * A234033 A234034 A234035

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved