|
Search: id:A098716
|
|
|
| A098716 |
|
Number of partitions of the n-th partition number into integers not greater than the (n-1)-th partition number. |
|
+0
1
|
|
| 1, 1, 2, 5, 13, 49, 169, 972, 5559, 52979, 526450, 10617149, 214475363, 9035782113, 476715641982, 51820049305123, 7479565064189887, 2645418340373829359, 1318520401609595443835, 1774758704783778068230273
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
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.
|
|
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
|
|
CROSSREFS
|
Cf. A058699.
Sequence in context: A111563 A079573 A067021 this_sequence A082938 A059103 A112836
Adjacent sequences: A098713 A098714 A098715 this_sequence A098717 A098718 A098719
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 29 2004
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 23 2006
|
|
|
Search completed in 0.002 seconds
|
