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Search: id:A112899
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| A112899 |
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A skew Pell-Pascal triangle. |
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+0
3
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| 1, 0, 2, 0, 1, 5, 0, 0, 4, 12, 0, 0, 1, 14, 29, 0, 0, 0, 6, 44, 70, 0, 0, 0, 1, 27, 131, 169, 0, 0, 0, 0, 8, 104, 376, 408, 0, 0, 0, 0, 1, 44, 366, 1052, 985, 0, 0, 0, 0, 0, 10, 200, 1212, 2888, 2378, 0, 0, 0, 0, 0, 1, 65, 810, 3842, 7813, 5741, 0, 0, 0, 0, 0, 0, 12, 340, 3032, 11784
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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Main diagonal is A000129. Row sums are A002605. Column sums are A006190(n+1).
A skewed version of the Riordan array (1/(1-2x-x^2),x/(1-2x-x^2)), see A054456 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2007
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FORMULA
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G.f.: 1/(1-2xy(1+x/2)-x^2*y^2); T(n, k)=sum{j=0..floor((2k-n)/2), C(k-j, n-k)C(2k-n, j)2^(2k-2j-n)}; T(n, k) = 2*T(n-1, k-1) + T(n-2, k-1) +T(n-2, k-2).
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EXAMPLE
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Rows begin
1;
0, 2;
0, 1, 5;
0, 0, 4, 12;
0, 0, 1, 14, 29;
0, 0, 0, 6, 44, 70;
0, 0, 0, 1, 27, 131, 169;
0, 0, 0, 0, 8, 104, 376, 408;
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CROSSREFS
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Adjacent sequences: A112896 A112897 A112898 this_sequence A112900 A112901 A112902
Sequence in context: A128749 A106579 A016584 this_sequence A108263 A134433 A125183
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 05 2005
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