|
Search: id:A101810
|
|
|
| A101810 |
|
Number of decompositions (i.e. ordered partitions) of the n-th prime into n nonnegative integers. |
|
+0
2
|
|
| 1, 4, 21, 120, 1365, 8568, 100947, 657800, 7888725, 163011640, 1121099408, 22595200368, 266783135710, 1889912732400, 22512762077400, 443643407165376, 8550047575185300, 62724534168736440, 1206459883091241450
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
a(n) = binomial(prime(n)+n-1, n-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 25 2005
|
|
EXAMPLE
|
a(2)=4 because p(2)=3 and 3=0+3=1+2=2+1=3+0
|
|
MAPLE
|
a:=n->binomial(ithprime(n)+n-1, n-1): seq(a(n), n=1..22); (Deutsch)
|
|
CROSSREFS
|
Sequence in context: A093426 A046090 A045721 this_sequence A001888 A103769 A003014
Adjacent sequences: A101807 A101808 A101809 this_sequence A101811 A101812 A101813
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Jan 29 2005
|
|
EXTENSIONS
|
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 13 2005
|
|
|
Search completed in 0.002 seconds
|
