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Search: id:A108617
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| A108617 |
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Triangle read by rows: T(n,k) = T(n-1,k-1)+T(n-1,k) for 0<k<n, T(n,0) = T(n,n) = n-th Fibonacci number. |
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+0 3
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| 0, 1, 1, 1, 2, 1, 2, 3, 3, 2, 3, 5, 6, 5, 3, 5, 8, 11, 11, 8, 5, 8, 13, 19, 22, 19, 13, 8, 13, 21, 32, 41, 41, 32, 21, 13, 21, 34, 53, 73, 82, 73, 53, 34, 21, 34, 55, 87, 126, 155, 155, 126, 87, 55, 34, 55, 89, 142, 213, 281, 310, 281, 213, 142, 89, 55, 89, 144, 231, 355, 494
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OFFSET
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0,5
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COMMENT
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T(n,0) = T(n,n) = A000045(n);
T(n,1) = T(n,n-1) = A000045(n+1) for n>0;
T(n,2) = T(n,n-2) = A000045(n+2)-2 = A001911(n-1) for n>1;
sum of n-th row = 2*A027934(n-1) for n>0.
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CROSSREFS
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Cf. A108037, A007318.
Sequence in context: A033775 A033791 A039913 this_sequence A092683 A057475 A024376
Adjacent sequences: A108614 A108615 A108616 this_sequence A108618 A108619 A108620
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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), Jun 12 2005
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