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!)
 A239361 T(n,k)=Number of nXk 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3 5
 2, 3, 3, 4, 7, 4, 5, 10, 10, 5, 6, 13, 17, 13, 6, 7, 16, 25, 25, 16, 7, 8, 19, 32, 43, 32, 19, 8, 9, 22, 39, 60, 60, 39, 22, 9, 10, 25, 46, 77, 106, 77, 46, 25, 10, 11, 28, 53, 96, 156, 156, 96, 53, 28, 11, 12, 31, 60, 117, 218, 266, 218, 117, 60, 31, 12, 13, 34, 67, 140, 299, 409, 409 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2..3..4...5...6....7....8....9....10....11....12....13.....14.....15.....16 ..3..7.10..13..16...19...22...25....28....31....34....37.....40.....43.....46 ..4.10.17..25..32...39...46...53....60....67....74....81.....88.....95....102 ..5.13.25..43..60...77...96..117...140...165...192...221....252....285....320 ..6.16.32..60.106..156..218..299...399...524...680...874...1113...1404...1754 ..7.19.39..77.156..266..409..599...852..1191..1635..2213...2944...3837...4910 ..8.22.46..96.218..409..729.1154..1742..2550..3625..5080...6985...9338..12170 ..9.25.53.117.299..599.1154.2151..3568..5605..8500.12681..18578..26346..36540 .10.28.60.140.399..852.1742.3568..7018.12171.19958.32247..50678..76983.114180 .11.31.67.165.524.1191.2550.5605.12171.24408.44086.76871.129200.207531.321665 LINKS R. H. Hardin, Table of n, a(n) for n = 1..720 FORMULA Empirical for column k: k=1: a(n) = n + 1 k=2: a(n) = 3*n + 1 for n>1 k=3: a(n) = 7*n - 3 for n>3 k=4: a(n) = n^2 + 6*n + 5 for n>4 k=5: a(n) = (7/6)*n^3 - (39/2)*n^2 + (538/3)*n - 486 for n>8 k=6: a(n) = (8/3)*n^3 - (45/2)*n^2 + (257/6)*n + 330 for n>13 k=7: a(n) = 7*n^3 - 54*n^2 - 37*n + 1252 for n>16 k=8: a(n) = (1/60)*n^5 + (7/6)*n^4 - (191/12)*n^3 - (1585/6)*n^2 + (107409/10)*n - 83947 for n>19 k=9: a(n) = (17/120)*n^5 + (99/8)*n^4 - (13123/24)*n^3 + (66545/8)*n^2 - (702297/20)*n - 124231 for n>27 k=10: a(n) = (77/60)*n^5 - (23/24)*n^4 + (1018/3)*n^3 - (1527013/24)*n^2 + (104192693/60)*n - 14129021 for n>32 k=11: a(n) = (1/30)*n^6 + (86/15)*n^5 - (2011/24)*n^4 + (48925/12)*n^3 - (48669569/120)*n^2 + (684129941/60)*n - 101487598 for n>37 EXAMPLE Some solutions for n=5 k=4 ..0..0..0..0....0..0..0..0....0..0..0..2....0..0..0..2....0..0..0..0 ..0..0..0..0....0..0..0..2....0..0..2..2....0..0..0..2....0..0..0..2 ..0..0..0..2....0..0..0..2....0..0..2..1....0..0..0..0....0..0..2..2 ..0..0..2..2....0..0..0..0....2..2..0..1....0..0..0..0....0..0..2..1 ..0..0..2..1....0..0..0..0....2..2..1..2....2..2..0..0....0..0..0..2 CROSSREFS Sequence in context: A078467 A154217 A185738 * A266362 A241956 A227125 Adjacent sequences:  A239358 A239359 A239360 * A239362 A239363 A239364 KEYWORD nonn,tabl 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.)