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Search: id:A140648
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| A140648 |
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Triangle which can create yesterday 1, 2, 3, 4, 5, 6, 8, 10, 11, 12 without help of Jacobsthal numbers.On line. Note almost odd palindroms (of squares) followed by their double. |
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1
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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; graph; listen)
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OFFSET
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0,2
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COMMENT
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Creation of triangle b 1, 2, 3, 4, 5, 6, 8, 10, 11, 12."Like" Pascal's triangle,take two consecutive terms b(k,p),b(k+1,p) of row p.Present a(k+1,p) corresponds to b(k+1,p). Then b(k+1,p+1)=b(k,p)+b(k+1,p)+a(k+1,p).Examples: 40=16+20+4, 42=20+21+1, 43=21+22+0, 44=22+24+2.
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FORMULA
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Triangle: 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; Row sums: 1, 2, 5, 11, 23 = A083329(n).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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CROSSREFS
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Sequence in context: A112081 A166589 A153345 this_sequence A153342 A144258 A056859
Adjacent sequences: A140645 A140646 A140647 this_sequence A140649 A140650 A140651
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KEYWORD
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nonn,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jul 09 2008
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