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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).

%I A133082 #3 Mar 30 2012 16:50:43
%S A133082 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 A133082 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 A133082 48,51,53,54,10,20,29,37,44,50,55,59,62,64,65
%N 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).
%D A133082 D. G. Kendall et al., Shape and Shape Theory, Wiley, 1999; see p. 6.
%F A133082 The k-th column is an arithmetic progression with difference k.
%e A133082 Triangle begins:
%e A133082 0
%e A133082 1 2
%e A133082 2 4 5
%e A133082 3 6 8 9
%e A133082 4 8 11 13 14
%e A133082 5 10 14 17 19 20
%e A133082 6 12 17 21 24 26 27
%e A133082 7 14 20 25 29 32 34 35
%e A133082 8 16 23 29 34 38 41 43 44
%e A133082 9 18 26 33 39 44 48 51 53 54
%e A133082 10 20 29 37 44 50 55 59 62 64 65
%Y A133082 Right-hand edge = A000096.
%K A133082 nonn,tabl
%O A133082 2,3
%A A133082 _N. J. A. Sloane_, Aug 24 2009