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Search: id:A077859
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| A077859 |
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Expansion of (1-x)^(-1)/(1-2*x+2*x^2-x^3). |
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+0
4
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| 1, 3, 5, 6, 6, 6, 7, 9, 11, 12, 12, 12, 13, 15, 17, 18, 18, 18, 19, 21, 23, 24, 24, 24, 25, 27, 29, 30, 30, 30, 31, 33, 35, 36, 36, 36, 37, 39, 41, 42, 42, 42, 43, 45, 47, 48, 48, 48, 49, 51, 53, 54, 54, 54, 55, 57, 59, 60, 60, 60, 61, 63, 65, 66, 66, 66, 67, 69, 71, 72, 72, 72, 73, 75
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Partial sums of A021823. Second partial sums of A010892. - Paul Barry (pbarry(AT)wit.ie), Jun 06 2003
Equals row sums of triangle A144083 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 10 2008]
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FORMULA
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a(n)=sum{k=0..n, (k+1)*2sin(pi(n-k)/3+pi/3)/sqrt(3) - Paul Barry (pbarry(AT)wit.ie), May 18 2004
a(n)=sum{k=0..n, binomial(n-2k, n-k-1)}; - Paul Barry (pbarry(AT)wit.ie), Jan 15 2005
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MATHEMATICA
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s=0; w1=0; w2=0; lst={w1, w2}; Do[s+=n-w1; AppendTo[lst, s]; w1=w2; w2=s, {n, 0, 2*5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 26 2008]
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CROSSREFS
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Cf. A010892.
Cf. A021823.
A144083 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 10 2008]
Sequence in context: A106117 A081498 A110279 this_sequence A123572 A076819 A072153
Adjacent sequences: A077856 A077857 A077858 this_sequence A077860 A077861 A077862
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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), Nov 17 2002
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