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Search: id:A075272
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| A075272 |
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BinomialMean (BM) transform of A075271, which see for the definition of (BM). |
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+0
4
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| 1, 2, 6, 34, 422, 11586, 678982, 82653026, 20565923814, 10362872458882, 10517568142605446, 21434335059927667362, 87558678536857464017446, 716228573446369122069676994, 11725371140175829761708518252742
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n)=2*A075271(n-1), for n>=1.
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REFERENCES
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Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
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FORMULA
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G.f.: Sum(x^n*Product(2^i/(1+(2^i-1)*x),i=1..n),n=0..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 10 2008
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MAPLE
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iBM:= proc(p) proc (n) option remember; add (2^(k) *p(k) *(-1)^(n-k) *binomial(n, k), k=0..n) end end: a:='a': aa:= iBM(a): a:= n-> `if`(n=0, 1, 2*aa(n-1)): seq (a(n), n=0..16); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008]
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CROSSREFS
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Cf. A075271.
Sequence in context: A052878 A076863 A118186 this_sequence A101262 A135965 A018983
Adjacent sequences: A075269 A075270 A075271 this_sequence A075273 A075274 A075275
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Sep 11 2002
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EXTENSIONS
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More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008
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