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Search: id:A165409
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| 1, 2, 4, 10, 24, 56, 136, 328, 784, 1896, 4576, 11008, 26592, 64192, 154752, 373696, 902144, 2176640, 5255424, 12687488, 30621952, 73931392, 178484736, 430845952, 1040176640, 2511199232, 6062209024, 14635617280, 35333443584, 85300015104
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Hankel transform is A165410.
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FORMULA
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G.f.: 1/(1-2x-2*x^3*c(2x^3))=2/(1-4x+sqrt(1-8x^3))=(1-4x-sqrt(1-8x^3))/(4x(1-2x-x^2)), c(x) the g.f. of A000108;
G.f.: 1/(1-2x-2x^3/(1-2x^3/(1-2x^3/(1-2x^3/(1-... (continued fraction);
a(n)=sum{k=0..n, if(n<=3k, 2^k*C((n+k)/2,k)*((3k-n)/2+1)(1+(-1)^(n-k))/(2(k+1))};
a(n)=sum{k=0..n+1, Pell(n-k+1)*(0^k-2^((k-2)/2)*A000108((k-2)/3)*(1+2*cos(2*pi*(k-2)/3))/3)}.
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CROSSREFS
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Sequence in context: A052912 A024740 A025275 this_sequence A163271 A052542 A110236
Adjacent sequences: A165406 A165407 A165408 this_sequence A165410 A165411 A165412
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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), Sep 17 2009
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