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A146305
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Array T(n,m) = 2(2m+3)!(4n+2m+1)!/(m!(m+2)!n!(3n+2m+3)!) read by antidiagonals.
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0
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1, 1, 2, 3, 5, 5, 13, 20, 21, 14, 68, 100, 105, 84, 42, 399, 570, 595, 504, 330, 132, 2530, 3542, 3675, 3192, 2310, 1287, 429, 16965, 23400, 24150, 21252, 16170, 10296, 5005, 1430, 118668, 161820, 166257, 147420, 115500, 78936, 45045, 19448, 4862, 857956
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| First column is A000260. First, second and third rows are essentially A000108, A002054 and A000917.
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LINKS
| William G. Brown, Enumeration of Triangulations of the Disk, Proc. Lond. Math. Soc. s3-14 (1964) 746-768.
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EXAMPLE
| The array starts at row n=0 and column m=0 as
.....1......2.......5......14.......42.......132
.....1......5......21......84......330......1287
.....3.....20.....105.....504.....2310.....10296
....13....100.....595....3192....16170.....78936
....68....570....3675...21252...115500....602316
...399...3542...24150..147420...844074...4628052
..2530..23400..166257.1057224..6301680..35939904
.16965.161820.1186680.7791168.47948670.282285432
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MAPLE
| T := proc(n, m) 2*(2*m+3)!*(4*n+2*m+1)!/m!/(m+2)!/n!/(3*n+2*m+3)! ; end: for d from 0 to 13 do for m from 0 to d do printf("%d, ", T(d-m, m)) ; od: od:
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CROSSREFS
| Sequence in context: A079024 A097453 A079125 * A079022 A095296 A157260
Adjacent sequences: A146302 A146303 A146304 * A146306 A146307 A146308
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 29 2008
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