The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A199898 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative 11
 1, 1, 3, 1, 5, 7, 1, 7, 15, 15, 1, 9, 25, 49, 33, 1, 11, 37, 111, 159, 75, 1, 13, 51, 209, 461, 533, 171, 1, 15, 67, 351, 1043, 2035, 1783, 391, 1, 17, 85, 545, 2031, 5725, 8823, 6027, 899, 1, 19, 105, 799, 3573, 13363, 30199, 39053, 20437, 2077, 1, 21, 127, 1121, 5839 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ....1.....1......1.......1........1........1.........1.........1..........1 ....3.....5......7.......9.......11.......13........15........17.........19 ....7....15.....25......37.......51.......67........85.......105........127 ...15....49....111.....209......351......545.......799......1121.......1519 ...33...159....461....1043.....2031.....3573......5839......9021......13333 ...75...533...2035....5725....13363....27457.....51395.....89577.....147547 ..171..1783...8823...30199....82555...193689....406575....783989....1413739 ..391..6027..39053..164993...536967..1462859...3500269...7584081...15191479 ..899.20437.172355..890299..3409609.10651367..28684325..68971571..151640029 .2077.69665.767425.4877477.22163661.80142549.245319361.661158741.1611184533 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1096 FORMULA Empirical for rows: T(1,k) = 1 T(2,k) = 2*k + 1 T(3,k) = k^2 + 5*k + 1 T(4,k) = (4/3)*k^3 + 6*k^2 + (20/3)*k + 1 T(5,k) = (11/12)*k^4 + (49/6)*k^3 + (193/12)*k^2 + (41/6)*k + 1 T(6,k) = (11/10)*k^5 + (55/6)*k^4 + (55/2)*k^3 + (173/6)*k^2 + (37/5)*k + 1 T(7,k) = (151/180)*k^6 + (163/15)*k^5 + (377/9)*k^4 + (395/6)*k^3 + (7429/180)*k^2 + (93/10)*k + 1 EXAMPLE Some solutions for n=7 k=6 ..1....3....3....4...-3....4....4....0....3....3...-3...-6....4...-5....0....4 .-3...-4...-4...-6....5...-2...-6....6...-3...-5....0....3...-4....5...-3...-5 ..0....1....2....2...-3....4....4...-5....0....4....3...-1....0...-4....5....1 .-1....0...-3....0....0...-1...-3....3....4....0....0....6....5....6....0...-1 ..4....0....2....0....1....0....0...-6...-1....2...-2...-2...-6...-3...-3....5 .-6...-4...-2....3...-6...-5...-4....5....3....0....2....4....3....4....6....0 ..5....4....2...-3....6....0....5...-3...-6...-4....0...-4...-2...-3...-5...-4 CROSSREFS Column 1 is A136029(n+1) Row 3 is A082111 Sequence in context: A193648 A221881 A201811 * A320904 A193844 A201552 Adjacent sequences: A199895 A199896 A199897 * A199899 A199900 A199901 KEYWORD nonn,tabl AUTHOR R. H. Hardin Nov 11 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 2 12:48 EST 2023. Contains 360021 sequences. (Running on oeis4.)