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

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A250676 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction 17
 104, 669, 520, 3927, 5154, 2512, 22119, 42422, 34630, 11736, 120233, 329226, 388916, 210158, 53032, 637948, 2406972, 4008211, 3107446, 1185860, 233300, 3321772, 16949262, 38224684, 41503790, 22408818, 6325144, 1005121, 17052553, 115965426 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......104.......669........3927.........22119.........120233...........637948 ......520......5154.......42422........329226........2406972.........16949262 .....2512.....34630......388916.......4008211.......38224684........345255872 ....11736....210158.....3107446......41503790......505108522.......5726252240 ....53032...1185860....22408818.....379890972.....5803025694......81461365899 ...233300...6325144...148821788....3135539502....59036115470....1009432228498 ..1005121..32230991...923242475...23739860017...542694735983...11161659240791 ..4260728.158164928..5408914174..167047195040..4574838198834..111900180498102 .17835379.752162284.30183160828.1103768366168.35784917880517.1030597712205895 LINKS R. H. Hardin, Table of n, a(n) for n = 1..105 FORMULA Empirical for column k: k=1: [linear recurrence of order 7] for n>11 k=2: [order 20] for n>28 k=3: [order 35] for n>47 k=4: [order 47] for n>63 Empirical for row n: n=1: [linear recurrence of order 7] n=2: [order 20] n=3: [order 58] EXAMPLE Some solutions for n=2 k=4 ..0..1..1..3..1....2..0..0..2..1....2..1..1..2..0....2..2..1..0..0 ..0..1..1..3..1....2..0..0..2..1....2..2..2..1..1....2..3..0..1..2 ..1..3..3..1..3....2..0..0..3..3....2..2..2..3..3....2..3..1..2..3 CROSSREFS Rows 1-7 are A250677 - A250683. Sequence in context: A250669 A250691 A250692 * A250677 A206021 A206014 Adjacent sequences:  A250673 A250674 A250675 * A250677 A250678 A250679 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 26 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 3 22:11 EST 2020. Contains 338920 sequences. (Running on oeis4.)