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A023009
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Number of partitions of n into parts of 10 kinds.
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1
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1, 10, 65, 330, 1430, 5512, 19415, 63570, 195910, 573430, 1605340, 4322110, 11240645, 28341730, 69488650, 166096270, 387890625, 886698670, 1987322415, 4373271870, 9461022285, 20144164040, 42254620785, 87398226990, 178396331100
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) is Euler transform of A010692. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
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LINKS
| Index entries for expansions of Product_{k >= 1} (1-x^k)^m
N. J. A. Sloane, Transforms [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
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FORMULA
| G.f.: Product_{m>=1} 1/(1-x^m)^10.
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MAPLE
| with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*10, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq (a(n), n=0..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
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CROSSREFS
| Cf. 10th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A059598 A133715 A160458 * A169797 A073381 A092441
Adjacent sequences: A023006 A023007 A023008 * A023010 A023011 A023012
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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