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Search: id:A058399
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| A058399 |
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Triangle of partial row sums of partition triangle A008284. |
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+0
1
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| 1, 2, 1, 3, 2, 1, 5, 4, 2, 1, 7, 6, 4, 2, 1, 11, 10, 7, 4, 2, 1, 15, 14, 11, 7, 4, 2, 1, 22, 21, 17, 12, 7, 4, 2, 1, 30, 29, 25, 18, 12, 7, 4, 2, 1, 42, 41, 36, 28, 19, 12, 7, 4, 2, 1, 56, 55, 50, 40, 29, 19, 12, 7, 4, 2, 1, 77, 76, 70, 58, 43, 30, 19, 12, 7, 4, 2, 1, 101, 100, 94, 80, 62
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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The first column sequences are A000041(n), A000065(n+1), A004250(n+2), A035300(n-1), A035301(n-1) for m=1..5 and n >= 1.
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FORMULA
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a(n, m)= sum(A008284(n, k), k=m..n).
G.f. for m-th column: sum(x^(n)/product(1-x^k, k=1..n+m-1), n=1..infty).
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EXAMPLE
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1; 2,1; 3,2,1; 5,4,2,1; ...
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CROSSREFS
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Cf. A008284, A000041, A000065, A004250, A035300, A035301.
Sequence in context: A039911 A002335 A119441 this_sequence A058400 A131344 A129262
Adjacent sequences: A058396 A058397 A058398 this_sequence A058400 A058401 A058402
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KEYWORD
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nonn,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Dec 11 2000
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