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Search: id:A094373
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| A094373 |
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Expansion of (1-x-x^2)/((1-x)(1-2x)). |
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+0
14
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| 1, 2, 3, 5, 9, 17, 33, 65, 129, 257, 513, 1025, 2049, 4097, 8193, 16385, 32769, 65537, 131073, 262145, 524289, 1048577, 2097153, 4194305, 8388609, 16777217, 33554433, 67108865, 134217729, 268435457, 536870913, 1073741825, 2147483649
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Partial sum of 1,1,1,2,4,8,... Binomial transform of abs(A073097). Binomial transform is A094374.
Partial sums are in A006127. - Paul Barry (pbarry(AT)wit.ie), Aug 05 2004
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FORMULA
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a(n)=(2^n-0^n)/2+1. a(2n)=2a(2n-1)-1, n>0.
Row sums of triangle A135225 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 23 2007
Equals A131577 + 1. - Paul Curtz (bpcrtz(AT)free.fr), Aug 07 2008
a(n)=2*a(n-1)-1 for n>1, a(0)=1, a(1)=2. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 25 2009]
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PROGRAM
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(Other) sage: [floor(gaussian_binomial(n, 1, 2)+2) for n in xrange(-1, 32)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 31 2009]
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CROSSREFS
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Apart from the initial 1, identical to A000051.
Cf. A135225.
Sequence in context: A091697 A109740 A000051 this_sequence A061902 A166286 A110113
Adjacent sequences: A094370 A094371 A094372 this_sequence A094374 A094375 A094376
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 28 2004
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