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Search: id:A119457
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| A119457 |
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Triangle read by rows: T(n,1)=n, T(n,2)=(n-1)*2 for n>1, and T(n,k)=T(n-1,k-1)+T(n-2,k-2) for 2<k<=n. |
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+0
9
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| 1, 2, 2, 3, 4, 3, 4, 6, 6, 5, 5, 8, 9, 10, 8, 6, 10, 12, 15, 16, 13, 7, 12, 15, 20, 24, 26, 21, 8, 14, 18, 25, 32, 39, 42, 34, 9, 16, 21, 30, 40, 52, 63, 68, 55, 10, 18, 24, 35, 48, 65, 84, 102, 110, 89, 11, 20, 27, 40, 56, 78, 105, 136, 165, 178, 144, 12, 22, 30, 45, 64, 91, 126
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums give A001891; central terms give A023607;
T(n,1) = n;
T(n,2) = A005843(n-1) for n>1;
T(n,3) = A008585(n-2) for n>2;
T(n,4) = A008587(n-3) for n>3;
T(n,5) = A008590(n-4) for n>4;
T(n,6) = A008595(n-5) for n>5;
T(n,7) = A008603(n-6) for n>6;
T(n,n-6) = A022090(n-5) for n>6;
T(n,n-5) = A022089(n-4) for n>5;
T(n,n-4) = A022088(n-3) for n>4;
T(n,n-3) = A022087(n-2) for n>3;
T(n,n-2) = A022086(n-1) for n>2;
T(n,n-1) = A006355(n+1) for n>1;
T(n,n) = A000045(n+1);
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LINKS
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Eric Weisstein's World of Mathematics, Fibonacci Number
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FORMULA
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T(n,n) = (n+1)-th Fibonacci number, T(n,k) = (n-k+1)*T(k,k) for 1<=k<n.
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CROSSREFS
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Sequence in context: A091257 A003991 A131923 this_sequence A065157 A051597 A084193
Adjacent sequences: A119454 A119455 A119456 this_sequence A119458 A119459 A119460
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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)lhsystems.com), May 20 2006
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