A262795 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 5 and column not divisible by 5, read as a binary number with top and left being the most significant bits.

0, 36, 0, 76, 144, 0, 344, 528, 625, 0, 2178, 4704, 4898, 2601, 0, 15556, 56880, 81954, 38688, 10404, 0, 82386, 787536, 2070492, 1217748, 269638, 41616, 0, 479148, 8423568, 53647609, 62476744, 15883746, 1873728, 167281, 0, 2894976, 98893920

Offset

1,2

Comments

Table starts

.0.......36.........76..........344...........2178...........15556

.0......144........528.........4704..........56880..........787536

.0......625.......4898........81954........2070492........53647609

.0.....2601......38688......1217748.......62476744......3232334529

.0....10404.....269638.....15883746.....1628730346....167631328804

.0....41616....1873728....207296448....42425454480...8709248924880

.0...167281...13349904...2745709200..1124519007690.461326213311625

.0...670761...94039306..36033729098.29517820715106

.0..2683044..656071804.468737604632

.0.10732176.4575740208

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 8]

k=3: [order 53]

Empirical for row n:

n=1: [linear recurrence of order 30]

n=2: [order 31]

Example

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

Crossrefs

Sequence in context: A167264 A292156 A265489 * A309379 A022071 A181635

Adjacent sequences: A262792 A262793 A262794 * A262796 A262797 A262798

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 02 2015

Status

approved