A262274 - OEIS

A262274

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.

2, 4, 4, 7, 16, 7, 13, 49, 49, 13, 26, 169, 149, 169, 26, 52, 676, 585, 585, 676, 52, 103, 2704, 3639, 3253, 3639, 2704, 103, 205, 10609, 23977, 37061, 37061, 23977, 10609, 205, 410, 42025, 129481, 467065, 828152, 467065, 129481, 42025, 410, 820, 168100

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OFFSET

1,1

COMMENTS

Table starts

...2......4........7.........13............26..............52.............103

...4.....16.......49........169...........676............2704...........10609

...7.....49......149........585..........3639...........23977..........129481

..13....169......585.......3253.........37061..........467065.........4403641

..26....676.....3639......37061........828152........20331508.......411861253

..52...2704....23977.....467065......20331508......1002110608.....41261408089

.103..10609...129481....4403641.....411861253.....41261408089...3605017226155

.205..42025...762529...49793329....9709537177...1965295140265.349760937840517

.410.168100..4977703..628659565..246785045498.100013594816980

.820.672400.33121201.8114855785.6349411267540

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +3*a(n-3) -2*a(n-4)

k=2: [order 8]

k=3: [order 53]

EXAMPLE

Some solutions for n=4 k=4

..0..0..1..1..1..1....0..0..0..0..0..0....0..0..1..0..1..0....1..1..0..0..1..0

..1..0..1..0..0..0....0..0..0..0..0..0....0..0..0..1..0..1....0..1..0..1..0..0

..0..0..0..1..0..1....0..1..1..0..0..1....0..0..1..0..1..0....1..1..0..0..1..0

..1..0..1..1..0..1....1..1..0..1..1..1....1..1..0..1..1..1....1..1..1..1..0..0

..0..0..1..0..1..0....0..1..1..0..0..1....0..0..0..0..0..0....0..0..0..0..0..0

..0..0..1..1..1..1....1..1..0..1..1..1....1..1..0..0..1..0....1..0..1..0..0..0

CROSSREFS

Sequence in context: A206994 A181224 A188567 * A223669 A223680 A189264

Adjacent sequences: A262271 A262272 A262273 * A262275 A262276 A262277

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 17 2015

STATUS

approved