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A194546
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Triangle read by rows: T(n,k) = largest part of the k-th partition of n, with partitions in lexicographic order.
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3
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1, 1, 2, 1, 2, 3, 1, 2, 3, 2, 4, 1, 2, 3, 2, 4, 3, 5, 1, 2, 3, 2, 4, 3, 5, 2, 4, 3, 6, 1, 2, 3, 2, 4, 3, 5, 2, 4, 3, 6, 3, 5, 4, 7, 1, 2, 3, 2, 4, 3, 5, 2, 4, 3, 6, 3, 5, 4, 7, 2, 4, 3, 6, 5, 4, 8, 1, 2, 3, 2, 4, 3, 5, 2, 4, 3, 6, 3, 5, 4, 7, 2, 4, 3, 6, 5, 4, 8, 3, 5, 4, 7, 3, 6, 5, 9
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listen;
history;
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internal format)
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OFFSET
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1,3
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COMMENTS
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Row n lists the first A000041(n) terms of A141285.
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LINKS
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Table of n, a(n) for n=1..96.
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EXAMPLE
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Written as a triangle:
1
1,2
1,2,3
1,2,3,2,4
1,2,3,2,4,3,5
1,2,3,2,4,3,5,2,4,3,6
1,2,3,2,4,3,5,2,4,3,6,3,5,4,7
1,2,3,2,4,3,5,2,4,3,6,3,5,4,7,2,4,3,6,5,4,8
The partitions of 5 are (in lexicographic order):
1+1+1+1+1
1+1+1+2
1+1+3
1+2+2
1+4
2+3
5
so the fifth row is the largest in each partition: 1,2,3,2,4,3,5
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CROSSREFS
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The sum of row n is A006128(n).
Cf. A135010, A138121, A141285, A193173, A194547, A194548, A194549.
Sequence in context: A194436 A061336 A057945 * A115452 A039676 A113126
Adjacent sequences: A194543 A194544 A194545 * A194547 A194548 A194549
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KEYWORD
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nonn,tabf
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AUTHOR
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Omar E. Pol, Dec 10 2011
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STATUS
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approved
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