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Search: id:A098716
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| A098716 |
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Number of partitions of the n-th partition number into integers not greater than the (n-1)-th partition number. |
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1
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| 1, 1, 2, 5, 13, 49, 169, 972, 5559, 52979, 526450, 10617149, 214475363, 9035782113, 476715641982, 51820049305123, 7479565064189887, 2645418340373829359, 1318520401609595443835, 1774758704783778068230273
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OFFSET
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1,3
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EXAMPLE
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n=7: A000041(7)=15 has A000041(15)=176 partitions, seven of them with integers greater than A000041(7-1)=11: 12+3, 12+2+1, 12+1+1, 13+2, 13+1+1, 14+1, and 15, therefore a(7)=176-7=169.
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MAPLE
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with(combinat): a:=proc(n) local G, Gser: G:=1/product(1-x^j, j=1..numbpart(n-1)): Gser:=series(G, x=0, 20+numbpart(n)): coeff(Gser, x^numbpart(n)) end: seq(a(n), n=1..22); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 23 2006
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CROSSREFS
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Cf. A058699.
Sequence in context: A111563 A079573 A067021 this_sequence A082938 A059103 A112836
Adjacent sequences: A098713 A098714 A098715 this_sequence A098717 A098718 A098719
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Sep 29 2004
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 23 2006
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