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A162995
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A scaled version of triangle A162990
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3
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1, 3, 1, 12, 4, 1, 60, 20, 5, 1, 360, 120, 30, 6, 1, 2520, 840, 210, 42, 7, 1, 20160, 6720, 1680, 336, 56, 8, 1, 181440, 60480, 15120, 3024, 504, 72, 9, 1, 1814400, 604800, 151200, 30240, 5040, 720, 90, 10, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| We get this scaled version of triangle A162990 by dividing the coefficients in the left hand columns by their 'top-values' and then taking the square root.
T(n,k) = A173333(n+1,k+1), 1<=k<=n. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 19 2010]
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FORMULA
| a(n,m) = (n+1)!/(m+1)! for n = 1, 2, 3, .., and m = 1, 2, .., n.
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EXAMPLE
| The first few rows of the triangle are:
[1]
[3, 1]
[12, 4, 1]
[60, 20, 5, 1]
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MAPLE
| nmax:=9; for n from 1 to nmax do for m from 1 to n do a(n, m):=(n+1)!/(m+1)! od: od: T:=1: for n from 1 to nmax do for m from 1 to n do a(T):=a(n, m); T:=T+1; od: od: seq(a(n), n=1..T-1);
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CROSSREFS
| Cf. A094587.
A056542(n) equals the row sums for n=>1.
A001710, A001715, A001720, A001725, A001730, A049388, A049389, A049398, A051431 are related to the left hand columns.
A000012, A009056, A002378, A007531, A052762, A052787, A053625 and A159083 are related to the right hand columns.
Sequence in context: A144881 A121420 A117375 * A177020 A122844 A113369
Adjacent sequences: A162992 A162993 A162994 * A162996 A162997 A162998
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Johannes W. Meijer (meijgia(AT)hotmail.com), Jul 21 2009, Jul 25 2009, Jul 27 2009
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