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Search: id:A099572
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| A099572 |
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Sum C(n-k+4,k), k=0..floor(n/2). |
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+0
2
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| 1, 1, 6, 7, 23, 30, 73, 103, 211, 314, 581, 895, 1560, 2455, 4135, 6590, 10890, 17480, 28590, 46070, 74946, 121016, 196326, 317342, 514123, 831465, 1346148, 2177613, 3524441, 5702054, 9227311, 14929365, 24157645, 39087010, 63245795, 102332805
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Fifth column of triangle A054450. In general sum{k=0..floor(n/2), binomial(n-k+r,k)}, r>=0, will have g.f. 1/((1-x)^r(1-x-x^2)) and for r>0, a(n)=sum{k=0..n, F(n-k+1)*binomial(k/2+r-1,r-1)(1+(-1)^k)/2}.
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FORMULA
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G.f.: 1/((1-x)^4(1-x-x^2)); a(n)=sum{k=0..n, F(n-k+1)*binomial(k/2+3, 3)(1+(-1)^k)/2}.
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CROSSREFS
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Cf. A054451, A052952, A099571, A000045.
Sequence in context: A062369 A048062 A081284 this_sequence A110928 A067151 A135987
Adjacent sequences: A099569 A099570 A099571 this_sequence A099573 A099574 A099575
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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), Oct 23 2004
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