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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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0
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1, 1, 2, 5, 13, 49, 169, 972, 5559, 52979, 526450, 10617149, 214475363, 9035782113, 476715641982, 51820049305123, 7479565064189887, 2645418340373829359, 1318520401609595443835, 1774758704783778068230273
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| 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
| 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
| Cf. A058699.
Sequence in context: A079573 A194635 A067021 * A082938 A059103 A112836
Adjacent sequences: A098713 A098714 A098715 * A098717 A098718 A098719
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 29 2004
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 23 2006
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