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%I #12 Jul 21 2017 06:52:38
%S 1,2,0,4,1,0,8,2,0,1,16,4,1,0,2,32,8,2,0,1,4,64,16,4,1,0,2,8,128,32,8,
%T 2,0,1,4,16,256,64,16,4,1,0,2,8,32,512,128,32,8,2,0,1,4,16,64
%N Triangle T(n,m) which can create A140642 without help of Jacobsthal numbers.
%C This triangle T(.,.) provides the additional terms if A140642 is constructed with a Pascal-type recurrence: A140642(n+1,m+1) = A140642(n,m) + A140642(n,m+1) + T(n,m+1).
%C Note almost odd palindromes (of squares) followed by their double.
%C Examples: 40=16+20+4, 42=20+21+1, 43=21+22+0, 44=22+24+2.
%F Southeast diagonals based on A131577 (which is also in A140531). First preceded with 1, 0. Second with 2, 1, 0. Tends towards even palindromes, second part being A131577. Verticals: A000079, A131577, (0, A131577), ... .
%e Triangle begins:
%e 1;
%e 2, 0;
%e 4, 1, 0;
%e 8, 2, 0, 1;
%e 16, 4, 1, 0, 2;
%e 32, 8, 2, 0, 1, 4;
%e 64, 16, 4, 1, 0, 2, 8;
%e 128, 32, 8, 2, 0, 1, 4, 16;
%Y Cf. A083329 (row sums).
%K nonn,tabl,uned
%O 0,2
%A _Paul Curtz_, Jul 09 2008
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