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A081718
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Array T(m,n) read by antidiagonals, where T(m,n) = number of m X infinity multiplicity integer partition (mip) matrix of n (m >= 0, n >= 0).
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1
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1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 3, 3, 1, 0, 1, 1, 4, 6, 5, 1, 0, 1, 1, 5, 10, 13, 7, 1, 0, 1, 1, 6, 15, 26, 23, 11, 1, 0, 1, 1, 7, 21, 45, 55, 44, 15, 1, 0, 1, 1, 8, 28, 71, 110, 121, 74, 22, 1, 0, 1, 1, 9, 36, 105, 196, 271, 237, 129, 30, 1, 0, 1, 1, 10, 45, 148, 322, 532
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,13
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COMMENTS
| For n > 0, the n-th column is given by a polynomial of degree n-1. - David Wasserman (wasserma(AT)spawar.navy.mil), Jun 21 2004
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REFERENCES
| W. C. Yang, Derivatives are essentially integer partitions, Discrete Math., 222 (2000), 235-245.
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FORMULA
| There is a recurrence involving the partition function.
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EXAMPLE
| Array begins:
1 1 0 0 0 ...
1 1 1 1 1 ...
1 1 2 3 5 ...
1 1 3 6 13 ...
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CROSSREFS
| Rows and columns give A022811, A022812, A022813, A022814, A022815, etc.
Sequence in context: A103631 A192517 A083856 * A198062 A129634 A066438
Adjacent sequences: A081715 A081716 A081717 * A081719 A081720 A081721
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 21 2004
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