login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240790 Number of n X 3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of 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. 1

%I

%S 4,5,8,27,49,50,89,115,182,289,425,651,992,1486,2255,3349,5040,7706,

%T 11754,17525,26365,39661,59893,89903,135336,203491,306233,460867,

%U 692971,1040765,1565790,2353754,3540545,5319995,8000324,12027862,18084789

%N Number of n X 3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of 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 Column 3 of A240792.

%H R. H. Hardin, <a href="/A240790/b240790.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-5) +4*a(n-6) +a(n-7) +4*a(n-8) +5*a(n-9) -6*a(n-10) -12*a(n-11) -a(n-12) -13*a(n-13) -16*a(n-14) -7*a(n-15) +13*a(n-16) +2*a(n-17) +20*a(n-18) +24*a(n-19) +15*a(n-20) -3*a(n-21) -2*a(n-22) -20*a(n-23) -44*a(n-24) -11*a(n-25) +9*a(n-26) -82*a(n-27) -30*a(n-28) +19*a(n-29) -21*a(n-30) -108*a(n-31) +132*a(n-32) +43*a(n-33) -68*a(n-34) +17*a(n-35) +171*a(n-36) -171*a(n-37) +66*a(n-38) +206*a(n-39) -46*a(n-40) -124*a(n-41) +214*a(n-42) -29*a(n-43) -283*a(n-44) +123*a(n-45) +129*a(n-46) -251*a(n-47) -6*a(n-48) +164*a(n-49) -17*a(n-50) -121*a(n-51) +216*a(n-52) +51*a(n-53) -79*a(n-54) +40*a(n-55) +58*a(n-56) -21*a(n-57) -16*a(n-58) +32*a(n-59) -3*a(n-60) -47*a(n-61) -29*a(n-62) -9*a(n-63) -2*a(n-64) -11*a(n-65) -2*a(n-66) +10*a(n-67) -6*a(n-69) +12*a(n-70) +3*a(n-71) -4*a(n-72) -3*a(n-73) +3*a(n-74) +a(n-75) -3*a(n-76) for n>87.

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A240792.

%K nonn

%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 April 20 17:54 EDT 2019. Contains 322310 sequences. (Running on oeis4.)