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!)
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
2, 5, 2, 11, 6, 4, 25, 9, 12, 6, 57, 42, 19, 16, 8, 129, 124, 142, 24, 16, 14, 293, 474, 553, 348, 25, 35, 20, 665, 1440, 4112, 1750, 653, 35, 35, 30, 1509, 5239, 18373, 20657, 5325, 1809, 45, 36, 48, 3425, 16730, 131958, 149324, 77314, 21859, 3606, 76, 65, 70, 7773 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

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

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

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

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

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

.20.35..45..3606...66809..2319189..75889699.5873834148

.30.36..76..8307..222091.11311246.583512422

.48.65.117.20609..811643.62333325

.70.83.180.42658.2448916

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..109

FORMULA

Empirical for column k:

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

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

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

Empirical for row n:

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A239851

Row 1 is A239812

Sequence in context: A085020 A276609 A292591 * A207635 A205715 A181338

Adjacent sequences:  A240757 A240758 A240759 * A240761 A240762 A240763

KEYWORD

nonn,tabl

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 November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)