login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240757 Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or zero 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
11, 9, 19, 24, 25, 35, 45, 76, 117, 180, 265, 365, 533, 786, 1220, 1796, 2728, 4087, 6140, 9060, 13625, 20484, 30734, 46161, 69561, 104127, 156807, 235060, 353693, 530499, 798289, 1200045, 1804325, 2711062, 4074989, 6123683, 9207099, 13837742 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A240760

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

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>84

EXAMPLE

Some solutions for n=4

..2..2..2....2..2..2....2..2..2....3..1..3....2..1..1....3..1..3....2..2..2

..3..3..1....3..3..1....3..1..3....2..2..2....3..3..2....2..2..2....3..3..1

..2..0..2....2..2..2....2..0..2....3..1..2....2..1..2....2..1..3....2..2..2

..2..0..2....2..1..3....2..0..1....2..1..2....2..0..2....2..1..2....2..1..2

CROSSREFS

Sequence in context: A090075 A004500 A254716 * A206422 A316450 A196006

Adjacent sequences:  A240754 A240755 A240756 * A240758 A240759 A240760

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 12 2014

STATUS

approved

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 August 12 09:05 EDT 2020. Contains 336438 sequences. (Running on oeis4.)