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Search: id:A034899
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| A034899 |
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Euler transform of powers of 2 [ 2,4,8,16,... ]. |
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+0
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
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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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
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G.f. = 1 + Sum_{n=1..inf} a(n)*x^n = 1/Product_{n=1..inf} (1-x^(n))^(2^(n)). - Thomas Wieder (wieder.thomas(AT)t-online.de), Mar 06 2005
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MAPLE
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series(1/product((1-x^(n))^(2^(n)), n=1..20), x=0, 12); (Wieder)
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CROSSREFS
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Cf. A034691, the Euler transform of 1, 2, 4, 8, 16, 32, 64, ...
Cf. also A075729.
Sequence in context: A027120 A094982 A007460 this_sequence A026124 A026153 A025180
Adjacent sequences: A034896 A034897 A034898 this_sequence A034900 A034901 A034902
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Thomas Wieder (wieder.thomas(AT)t-online.de), Mar 06 2005
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