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Search: id:A129362
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A129362 a(n)=sum{k=floor((n+1)/2)..n, J(k+1)}, J(n)=A001045(n). +0
2
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 (list; graph; listen)
OFFSET

0,3

FORMULA

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)}

CROSSREFS

Cf. A129361.

Adjacent sequences: A129359 A129360 A129361 this_sequence A129363 A129364 A129365

Sequence in context: A104137 A130887 A049933 this_sequence A083579 A104626 A065034

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 11 2007

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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