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 A212930 T(n,k)=Number of nXk 0..k-1 arrays with no column j greater than column j-1 in all rows 14
 1, 3, 1, 10, 15, 1, 35, 568, 63, 1, 126, 39695, 18226, 255, 1, 462, 4431876, 14177855, 518320, 1023, 1, 1716, 724082352, 23124921876, 4041974015, 14230810, 4095, 1, 6435, 163050236504, 68264066143602, 85800824609376, 1075113010175, 386357608 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1....3.......10............35................126......................462 .1...15......568.........39695............4431876................724082352 .1...63....18226......14177855........23124921876...........68264066143602 .1..255...518320....4041974015.....85800824609376......4051316109991426752 .1.1023.14230810.1075113010175.285912852294921876.207406617181155352354002 LINKS R. H. Hardin, Table of n, a(n) for n = 1..172 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 5*a(n-1) -4*a(n-2) k=3: a(n) = 37*a(n-1) -279*a(n-2) +243*a(n-3) k=4: a(n) = 405*a(n-1) -43860*a(n-2) +1524160*a(n-3) -15636480*a(n-4) +14155776*a(n-5) The coefficient of a(n-1) is A209671(k) (through at least k=1..7) EXAMPLE Some solutions for n=3 k=4 ..2..0..1..0....1..0..0..0....3..1..1..1....1..0..2..3....2..2..1..0 ..2..0..1..2....0..3..1..2....3..2..3..0....2..1..1..0....0..3..0..0 ..1..3..0..0....1..0..1..3....1..1..1..1....3..3..0..1....1..1..1..3 CROSSREFS Column 2 is A024036 Row 1 is A001700(n-1) cf. A212943 Sequence in context: A064060 A176740 A134991 * A225725 A095327 A225753 Adjacent sequences: A212927 A212928 A212929 * A212931 A212932 A212933 KEYWORD nonn,tabl AUTHOR R. H. Hardin May 31 2012 STATUS approved

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Last modified December 7 08:27 EST 2023. Contains 367645 sequences. (Running on oeis4.)