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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A228260 T(n,k)=Number of third differences of arrays of length n+3 of numbers in 0..k 13
 9, 17, 31, 25, 143, 63, 33, 319, 621, 127, 41, 565, 2511, 2059, 255, 49, 881, 6419, 13933, 6305, 511, 57, 1267, 12947, 53315, 58911, 19171, 1023, 65, 1723, 22727, 141989, 315601, 242461, 58025, 2047, 73, 2249, 36471, 310425, 1161855, 1688101, 989527 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....9.....17.......25........33.........41..........49..........57...........65 ...31....143......319.......565........881........1267........1723.........2249 ...63....621.....2511......6419......12947.......22727.......36471........54851 ..127...2059....13933.....53315.....141989......310425......596591......1045439 ..255...6305....58911....315601....1161855.....3298681.....7795501.....16171769 ..511..19171...242461...1688101....8003363....28791007....83538705....206640895 .1023..58025...989527...8717049...50554951...218845881...761638071...2238075697 .2047.175099..4017157..44633821..313882531..1609259287..6537612649..22217937193 .4095.527345.16245775.227363409.1932641711.11658284065.54701587935.211702564321 LINKS R. H. Hardin, Table of n, a(n) for n = 1..160 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -2*a(n-2) for n>3 k=2: a(n) = 5*a(n-1) -6*a(n-2) for n>5 k=3: a(n) = 7*a(n-1) -12*a(n-2) for n>7 k=4: a(n) = 9*a(n-1) -20*a(n-2) for n>8 k=5: a(n) = 11*a(n-1) -30*a(n-2) for n>10 k=6: a(n) = 13*a(n-1) -42*a(n-2) for n>12 k=7: a(n) = 15*a(n-1) -56*a(n-2) for n>14 Empirical for row n: n=1: a(n) = 8*n + 1 n=2: a(n) = 35*n^2 + 1*n + 1 for n>1 n=3: a(n) = 112*n^3 - 34*n^2 - 38*n - 13 for n>4 n=4: a(n) = 294*n^4 - 256*n^3 - 489*n^2 + 477*n + 415 for n>8 n=5: a(n) = 672*n^5 - 1152*n^4 - 3340*n^3 + 8908*n^2 + 4108*n - 14279 for n>13 EXAMPLE Some solutions for n=4 k=4 ..3...-5....5...-6....3...-7...-8...12....9...13....9...-1....3...-8....7...10 ..0....1...-4....7....0....7....3...-7..-12..-13...-3....0...-1...13...-6..-12 .-7....4....6...-7...-6...-7....4...-3...11...13...-5....4...-5..-12....8...12 .10...-8...-1....2...10...-1...-8....8...-8..-15....0...-5....7....8...-6...-9 CROSSREFS Sequence in context: A081030 A352789 A285009 * A147459 A188559 A014004 Adjacent sequences: A228257 A228258 A228259 * A228261 A228262 A228263 KEYWORD nonn,tabl AUTHOR R. H. Hardin Aug 19 2013 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 26 17:57 EST 2024. Contains 370352 sequences. (Running on oeis4.)