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Search: id:A128282
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| A128282 |
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For definition see Comment lines . |
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+0
2
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| 1, 2, 2, 3, 4, 3, 5, 6, 6, 5, 7, 8, 9, 8, 7, 10, 11, 12, 12, 11, 10, 13, 14, 15, 16, 15, 14, 13, 17, 18, 19, 20, 20, 19, 18, 17, 21, 22, 23, 24, 25, 24, 23, 22, 21, 26, 27, 28, 29, 30, 30, 29, 28, 27, 26, 31, 32, 33, 34, 35, 36, 35, 34, 33, 32, 31, 37, 38, 39, 40, 41, 42, 42, 41
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Left half triangle is A000027 (natural numbers): 1 ; 2 ; 3, 4 ; 5, 6 ; 7, 8, 9 ; 10, 11, 12 ; 13, 14, 15, 16 ; 17, 18, 19, 20 ;...
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FORMULA
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T(n,k)=T(n,n-k) . T(2*n,n)=(n+1)^2 = A000290(n+1) . T(n,0)=T(n,n)=A033638(n+1) .
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EXAMPLE
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Triangle begins:
1;
2, 2;
3, 4, 3;
5, 6, 6, 5;
7, 8, 9, 8, 7;
10, 11, 12, 12, 11, 10;
13, 14, 15, 16, 15, 14, 13;
17, 18, 19, 20, 20, 19, 18, 17 ;...
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CROSSREFS
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Sequence in context: A091525 A091524 A026350 this_sequence A106408 A096858 A037254
Adjacent sequences: A128279 A128280 A128281 this_sequence A128283 A128284 A128285
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), May 03 2007
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