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Search: id:A119258
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| A119258 |
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Triangle read by rows: T(n,0)=T(n,n)= 1 and for 0<k<n: T(n,k)=2*T(n-1,k-1)+T(n-1,k). |
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+0
13
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| 1, 1, 1, 1, 3, 1, 1, 5, 7, 1, 1, 7, 17, 15, 1, 1, 9, 31, 49, 31, 1, 1, 11, 49, 111, 129, 63, 1, 1, 13, 71, 209, 351, 321, 127, 1, 1, 15, 97, 351, 769, 1023, 769, 255, 1, 1, 17, 127, 545, 1471, 2561, 2815, 1793, 511, 1, 1, 19, 161, 799, 2561, 5503, 7937, 7423, 4097, 1023, 1
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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T(2*n,n-1) = T(2*n-1,n) for n>0;
central terms give A119259; row sums give A007051;
T(n,0) = T(n,n) = 1;
T(n,1) = A005408(n-1) for n>0;
T(n,2) = A056220(n-1) for n>1;
T(n,n-4) = A027608(n-4) for n>3;
T(n,n-3) = A055580(n-3) for n>2;
T(n,n-2) = A000337(n-1) for n>1;
T(n,n-1) = A000225(n) for n>0.
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LINKS
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Index entries for triangles and arrays related to Pascal's triangle
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FORMULA
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T(n,k)=[k<=n]*(-1)^k*sum{i=0..k, (-1)^i*C(k-n,k-i)*C(n,i)}; - Paul Barry (pbarry(AT)wit.ie), Sep 28 2007
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CROSSREFS
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Cf. A007318.
Adjacent sequences: A119255 A119256 A119257 this_sequence A119259 A119260 A119261
Sequence in context: A121522 A080842 A145661 this_sequence A099608 A047969 A047812
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 11 2006
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