login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240760 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4 7

%I

%S 2,5,2,11,6,4,25,9,12,6,57,42,19,16,8,129,124,142,24,16,14,293,474,

%T 553,348,25,35,20,665,1440,4112,1750,653,35,35,30,1509,5239,18373,

%U 20657,5325,1809,45,36,48,3425,16730,131958,149324,77314,21859,3606,76,65,70,7773

%N T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4

%C Table starts

%C ..2..5..11....25......57......129.......293........665........1509.......3425

%C ..2..6...9....42.....124......474......1440.......5239.......16730......58945

%C ..4.12..19...142.....553.....4112.....18373.....131958......625820....4472258

%C ..6.16..24...348....1750....20657....149324....1954881....16557694..232884150

%C ..8.16..25...653....5325....77314....947937...21847993...336059014.9470457699

%C .14.35..35..1809...21859...500139...9748926..420731038.11098085704

%C .20.35..45..3606...66809..2319189..75889699.5873834148

%C .30.36..76..8307..222091.11311246.583512422

%C .48.65.117.20609..811643.62333325

%C .70.83.180.42658.2448916

%H R. H. Hardin, <a href="/A240760/b240760.txt">Table of n, a(n) for n = 1..109</a>

%F Empirical for column k:

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

%F k=2: a(n) = 3*a(n-3) +a(n-5) -2*a(n-8) -4*a(n-9) -a(n-11) +2*a(n-14) for n>17

%F k=3: [order 76] for n>84

%F Empirical for row n:

%F n=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3)

%e Some solutions for n=4 k=4

%e ..3..3..1..1....2..2..2..2....3..3..1..3....2..1..1..3....2..2..3..3

%e ..2..0..2..3....3..3..1..1....2..0..0..2....3..3..0..2....3..1..0..2

%e ..2..0..2..3....3..2..0..1....3..1..0..2....2..1..3..2....2..0..1..3

%e ..2..0..0..2....2..0..2..2....3..1..0..2....2..0..1..2....2..0..1..3

%Y Column 1 is A239851

%Y Row 1 is A239812

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Apr 12 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 26 19:15 EST 2022. Contains 350599 sequences. (Running on oeis4.)