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A023007
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Number of partitions of n into parts of 8 kinds.
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2
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1, 8, 44, 192, 726, 2464, 7704, 22528, 62337, 164560, 417140, 1020416, 2418710, 5573568, 12520744, 27484160, 59068372, 124505880, 257770964, 524871424, 1052316364, 2079491744, 4053978040, 7803219968, 14840711765, 27907041392
(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 A010731. [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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MAPLE
| with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*8, 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. 8th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A005798 A092877 A160521 * A169795 A073380 A022636
Adjacent sequences: A023004 A023005 A023006 * A023008 A023009 A023010
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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