A251950 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

1462, 2255, 2255, 1933, 1182, 1933, 2735, 1251, 1251, 2735, 4346, 2053, 2272, 2053, 4346, 7115, 3609, 3572, 3572, 3609, 7115, 12344, 7348, 8756, 8937, 8756, 7348, 12344, 20995, 14434, 21326, 25231, 25231, 21326, 14434, 20995, 36057, 29212, 47034, 68456

Offset

1,1

Comments

Table starts

..1462...2255...1933....2735.....4346......7115......12344.......20995

..2255...1182...1251....2053.....3609......7348......14434.......29212

..1933...1251...2272....3572.....8756.....21326......47034......116348

..2735...2053...3572....8937....25231.....68456.....177132......512051

..4346...3609...8756...25231....87011....285399.....875435.....3103838

..7115...7348..21326...68456...285399...1086474....3678858....15275433

.12344..14434..47034..177132...875435...3678858...14138322....70829204

.20995..29212.116348..512051..3103838..15275433...70829204...436167357

.36057..60954.285990.1394255.10096792..58358828..294856410..2122347433

.58580.125586.648986.3602453.31749014.199425794.1132100600.10131857942

Links

R. H. Hardin, Table of n, a(n) for n = 1..509

Formula

Empirical for column k:

k=1: [linear recurrence of order 41] for n>50

k=2: [order 21] for n>27

k=3: [order 30] for n>33

k=4: [order 36] for n>39

k=5: [order 54] for n>57

k=6: [order 66] for n>69

k=7: [order 90] for n>95

Example

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

Crossrefs

Sequence in context: A232347 A251942 A251943 * A023074 A164647 A284887

Adjacent sequences: A251947 A251948 A251949 * A251951 A251952 A251953

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2014

Status

approved