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