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A133082 Triangle read by rows: T(k,m) = dimension of shape space for k labeled points in R^m (1 <= k <= m-1, m >= 2). 0

%I #3 Mar 30 2012 16:50:43

%S 0,1,2,2,4,5,3,6,8,9,4,8,11,13,14,5,10,14,17,19,20,6,12,17,21,24,26,

%T 27,7,14,20,25,29,32,34,35,8,16,23,29,34,38,41,43,44,9,18,26,33,39,44,

%U 48,51,53,54,10,20,29,37,44,50,55,59,62,64,65

%N Triangle read by rows: T(k,m) = dimension of shape space for k labeled points in R^m (1 <= k <= m-1, m >= 2).

%D D. G. Kendall et al., Shape and Shape Theory, Wiley, 1999; see p. 6.

%F The k-th column is an arithmetic progression with difference k.

%e Triangle begins:

%e 0

%e 1 2

%e 2 4 5

%e 3 6 8 9

%e 4 8 11 13 14

%e 5 10 14 17 19 20

%e 6 12 17 21 24 26 27

%e 7 14 20 25 29 32 34 35

%e 8 16 23 29 34 38 41 43 44

%e 9 18 26 33 39 44 48 51 53 54

%e 10 20 29 37 44 50 55 59 62 64 65

%Y Right-hand edge = A000096.

%K nonn,tabl

%O 2,3

%A _N. J. A. Sloane_, Aug 24 2009

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)