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A129362
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a(n)=sum{k=floor((n+1)/2)..n, J(k+1)}, J(n)=A001045(n).
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2
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1, 1, 4, 8, 19, 37, 80, 160, 331, 661, 1344, 2688, 5419, 10837, 21760, 43520, 87211, 174421, 349184, 698368, 1397419, 2794837, 5591040, 11182080, 22366891, 44733781, 89473024, 178946048, 357903019, 715806037
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OFFSET
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0,3
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (1,3,-1,0,-2,-4)
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FORMULA
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G.f.: (1+2x^3)/((1-x-2x^2)(1-x^2-2x^4)); a(n)=a(n-1)+3a(n-2)-a(n-3)-2a(n-5)-4a(n-6); a(n)=sum{k=0..floor(n/2), J(n-k+1)}; a(n)=sum{k=0..n, J(k+1)-J((k+1)/2)(1-(-1)^k)/2}; a(n)=sum{k=0..n, J(k+1)}-sum{k=0..floor((n-1)/2), J(k+1)}
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MATHEMATICA
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LinearRecurrence[{1, 3, -1, 0, -2, -4}, {1, 1, 4, 8, 19, 37}, 30] (* From Harvey P. Dale, Oct 22 2011 *)
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CROSSREFS
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Cf. A129361.
Sequence in context: A130887 A049933 A163318 * A083579 A215112 A065034
Adjacent sequences: A129359 A129360 A129361 * A129363 A129364 A129365
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry, Apr 11 2007
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STATUS
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approved
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