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Search: id:A140740
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| A140740 |
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Triangle read by rows: T(n,n) = 1 and for k with 1 <= k < n: T(n+1,k) = T(n,k) + T(n - n mod k, k). |
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+0
7
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| 1, 2, 1, 4, 2, 1, 8, 3, 2, 1, 16, 6, 3, 2, 1, 32, 9, 4, 3, 2, 1, 64, 18, 8, 4, 3, 2, 1, 128, 27, 12, 5, 4, 3, 2, 1, 256, 54, 16, 10, 5, 4, 3, 2, 1, 512, 81, 32, 15, 6, 5, 4, 3, 2, 1, 1024, 162, 48, 20, 12, 6, 5, 4, 3, 2, 1, 2048, 243, 64, 25, 18, 7, 6, 5, 4, 3, 2, 1, 4096, 486, 128, 50, 24
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Central terms: T(2*n-1,n)=n; T(2*n,n)=n+1; T(2*n,n+1)=n;
T(n,k) = n-k+1, for k with n/2 <= k <= n;
sums of rows: A140741;
T(n,1) = A000079(n-1);
T(n,2) = A038754(n-2) for n>1;
T(n,3) = A133464(n-3) for n>2;
T(n,4) = A140730(n-4) for n>3;
T(n,9) = A037124(n-9) for n>8.
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EXAMPLE
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.................................... 1
.................................. 2 . 1
.............................. 2^2 . 2 . 1
.......................... 2^3 ... 3 . 2 . 1
...................... 2^4 ... 2*3 . 3 . 2 . 1
.................. 2^5 ... 3^2 ... 4 . 3 . 2 . 1
.............. 2^6 .. 2*3^2 .. 2*4 . 4 . 3 . 2 . 1
.......... 2^7 ... 3^3 ... 3*4 ... 5 . 4 . 3 . 2 . 1
...... 2^8 .. 2*3^3 ... 4^2 .. 2*5 . 5 . 4 . 3 . 2 . 1
... 2^9 ... 3^4 .. 2*4^2 . 3*5 ... 6 . 5 . 4 . 3 . 2 . 1
2^10 . 2*3^4 . 3*4^2 .. 4*5 .. 2*6 . 6 . 5 . 4 . 3 . 2 . 1.
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CROSSREFS
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Sequence in context: A134586 A135287 A089606 this_sequence A091918 A138895 A138846
Adjacent sequences: A140737 A140738 A140739 this_sequence A140741 A140742 A140743
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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 26 2008
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