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A000713
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EULER transform of 3, 2, 2, 2, 2, 2, 2, 2...
(Formerly M2731 N1096)
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3
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1, 3, 8, 18, 38, 74, 139, 249, 434, 734, 1215, 1967, 3132, 4902, 7567, 11523, 17345, 25815, 38045, 55535, 80377, 115379, 164389, 232539, 326774, 456286, 633373, 874213, 1200228, 1639418, 2228546, 3015360, 4062065, 5448995
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Equals row sums of triangle A146023 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 26 2008]
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REFERENCES
| H. Gupta et al., Tables of Partitions. Royal Society Mathematical Tables, Vol. 4, Cambridge Univ. Press, 1958, p. 122.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 390
N. J. A. Sloane, Transforms
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MAPLE
| with (numtheory): etr:= proc(p) local b; b:=proc(n) option remember; local d, j; if n=0 then 1 else add (add (d*p(d), d=divisors(j)) *b(n-j), j=1..n)/n fi end end: a:= etr (n-> `if`(n<2, 3, 2)): seq (a(n), n=0..33); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 08 2008]
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CROSSREFS
| Cf. A000716.
Row sums of triangle A093010.
A146023 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 26 2008]
Sequence in context: A136376 A099845 A036635 * A078409 A036642 A000235
Adjacent sequences: A000710 A000711 A000712 * A000714 A000715 A000716
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Extended with formula from Christian G. Bower (bowerc(AT)usa.net), Apr 15 1998.
Definition changed by N. J. A. Sloane (njas(AT)research.att.com), Aug 15 2006
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