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A140648
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Triangle T(n,m) which can create A140642 without help of Jacobsthal numbers. Note almost odd palindromes (of squares) followed by their double.
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0
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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, 2, 0, 1, 4, 16, 256, 64, 16, 4, 1, 0, 2, 8, 32, 512, 128, 32, 8, 2, 0, 1, 4, 16, 64
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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).
Examples: 40=16+20+4, 42=20+21+1, 43=21+22+0, 44=22+24+2.
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FORMULA
| South-East diagonals based on A131577 (which is also in A140531).First preceded with 1, 0.Second with 2, 1, 0. Tends towards even palindrom, second part being A131577. Verticals: A000079, A131577, (0, A131577) .. .
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EXAMPLE
| 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, 2, 0, 1, 4, 16;
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CROSSREFS
| Cf. A083329 (row sums).
Sequence in context: A112081 A166589 A153345 * A153342 A144258 A056859
Adjacent sequences: A140645 A140646 A140647 * A140649 A140650 A140651
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Jul 09 2008
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