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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A239359 Number of n X 6 0..2 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 one plus the sum of the elements diagonally to its northwest, modulo 3. 1
 7, 19, 39, 77, 156, 266, 409, 599, 852, 1191, 1635, 2213, 2944, 3837, 4910, 6178, 7657, 9363, 11312, 13520, 16003, 18777, 21858, 25262, 29005, 33103, 37572, 42428, 47687, 53365, 59478, 66042, 73073, 80587, 88600, 97128, 106187, 115793, 125962, 136710 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (8/3)*n^3 - (45/2)*n^2 + (257/6)*n + 330 for n>13. Conjectures from Colin Barker, Oct 26 2018: (Start) G.f.: x*(7 - 9*x + 5*x^2 + 7*x^3 + 13*x^4 - 33*x^5 + 12*x^6 + 12*x^7 + 2*x^8 + 7*x^9 - 4*x^10 + 10*x^11 - 10*x^12 - 10*x^13 + 9*x^14 - 3*x^15 + x^16) / (1 - x)^4. a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>17. (End) EXAMPLE Some solutions for n=5: ..0..0..0..0..2..2....0..0..0..0..0..0....0..0..0..0..0..0....0..0..2..2..0..0 ..0..0..0..2..2..1....0..0..0..0..0..0....0..0..0..0..0..2....0..0..2..1..2..2 ..0..0..0..2..1..2....2..2..0..0..0..0....0..0..0..0..0..2....0..0..0..2..2..1 ..0..0..0..0..2..2....2..1..2..2..0..0....2..2..0..0..0..0....0..0..0..2..1..2 ..2..2..0..0..0..0....0..2..2..1..2..0....2..1..2..2..0..0....2..2..0..0..1..2 CROSSREFS Column 6 of A239361. Sequence in context: A108766 A303855 A295077 * A120720 A098422 A191066 Adjacent sequences:  A239356 A239357 A239358 * A239360 A239361 A239362 KEYWORD nonn AUTHOR R. H. Hardin, Mar 17 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.

Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)