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 A233366 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing 11
 7, 14, 14, 23, 46, 25, 36, 113, 139, 39, 54, 250, 568, 364, 57, 76, 530, 1964, 2639, 849, 81, 104, 1043, 6412, 16113, 10477, 1928, 112, 138, 1939, 19711, 91448, 117318, 38240, 4281, 151, 179, 3422, 56427, 494606, 1206656, 781467, 132356, 9315, 195, 227, 5802 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...7....14......23........36..........54...........76..........104.........138 ..14....46.....113.......250.........530.........1043.........1939........3422 ..25...139.....568......1964........6412........19711........56427......150258 ..39...364....2639.....16113.......91448.......494606......2508451....11763318 ..57...849...10477....117318.....1206656.....11689997....106244229...895749726 ..81..1928...38240....781467....15009944....270547199...4578333280.72152875243 .112..4281..132356...4826580...173151602...5873283547.187453633375 .151..9315..441895..28172630..1874799298.120044822528 .195.19741.1419797.156288347.19099723173 .247.40967.4391603.832235200 LINKS R. H. Hardin, Table of n, a(n) for n = 1..96 EXAMPLE Some solutions for n=4 k=4 ..1..0..0..1..0....0..0..0..1..0....0..0..1..0..0....1..0..0..0..0 ..0..1..0..1..0....1..0..0..0..1....0..0..1..1..0....1..1..1..0..0 ..0..1..0..0..1....0..1..0..0..1....1..1..0..1..0....0..0..0..1..1 ..0..0..1..1..1....0..1..0..0..1....0..0..1..0..1....0..1..1..1..1 ..1..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..1..1..1..1 CROSSREFS Column 1 is A232871 Row 1 is A232825 Sequence in context: A269160 A286418 A040042 * A232831 A232877 A232860 Adjacent sequences:  A233363 A233364 A233365 * A233367 A233368 A233369 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 08 2013 STATUS approved

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Last modified December 8 14:38 EST 2019. Contains 329865 sequences. (Running on oeis4.)