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A063415 Triangle of coefficients of di-Boustrophedon transform (see A063179) read by rows: Let the original sequence be (U0,U1,...) and the transformed sequence (V0,V2,...), then Vn is a linear combination of U0,...,Un. T(n,m) is the coefficient that goes with Um to get Vn.

%I A063415 #3 Mar 02 2015 16:08:46
%S A063415 1,1,1,2,2,1,4,5,3,1,12,14,9,4,1,42,51,32,14,5,1,178,214,137,60,20,6,
%T A063415 1,870,1049,668,295,100,27,7,1,4830,5820,3713,1636,555,154,35,8,1,
%U A063415 29976,36125,23036,10160,3446,952,224,44,9,1,205572,247734,157993,69664
%N A063415 Triangle of coefficients of di-Boustrophedon transform (see A063179) read by rows: Let the original sequence be (U0,U1,...) and the transformed sequence (V0,V2,...), then Vn is a linear combination of U0,...,Un. T(n,m) is the coefficient that goes with Um to get Vn.
%e A063415 The triangle begins:
%e A063415 ......1
%e A063415 ....1...1
%e A063415 ..2...2...1
%e A063415 4...5...3...1
%Y A063415 T(n, 0) is A063179. Row sums form A062704. T(n, n-2) is A000096. Cf. A059718.
%K A063415 nonn,tabl
%O A063415 0,4
%A A063415 _Floor van Lamoen_, Jul 19 2001