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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 18 18:42 EDT 2022. Contains 353824 sequences. (Running on oeis4.)