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A034899
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Euler transform of powers of 2 [ 2,4,8,16,... ].
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9
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1, 2, 7, 20, 59, 162, 449, 1200, 3194, 8348, 21646, 55480, 141152, 356056, 892284, 2221208, 5497945, 13533858, 33151571, 80826748, 196219393, 474425518, 1142758067, 2742784304, 6561052331, 15645062126, 37194451937, 88174252924, 208463595471, 491585775018
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 0..900
N. J. A. Sloane and Thomas Wieder, The Number of Hierarchical Orderings, Order 21 (2004), 83-89.
Thomas Wieder, Additional comments on this sequence
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FORMULA
| G.f.: 1/Product_{n>0} (1-x^n)^(2^n). - Thomas Wieder, Mar 06 2005
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MAPLE
| series(1/product((1-x^(n))^(2^(n)), n=1..20), x=0, 12); (Wieder)
##
with (numtheory):
a:=proc(n) option remember;
`if` (n=0, 1, add (add (d*2^d, d=divisors(j)) *a(n-j), j=1..n)/n)
end:
seq (a(n), n=0..40); # Alois P. Heinz, Sep 02 2011
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CROSSREFS
| Cf. A034691, the Euler transform of 1, 2, 4, 8, 16, 32, 64, ...
Cf. also A075729.
Sequence in context: A027120 A094982 A007460 * A026124 A026153 A025180
Adjacent sequences: A034896 A034897 A034898 * A034900 A034901 A034902
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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
| More terms from Thomas Wieder (wieder.thomas(AT)t-online.de), Mar 06 2005
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