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A151694
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G.f.: Product_{k>=1} (1 + 2*x^(2^k-1) + 2*x^(2^k)).
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10
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1, 2, 2, 2, 6, 8, 4, 2, 6, 8, 8, 16, 28, 24, 8, 2, 6, 8, 8, 16, 28, 24, 12, 16, 28, 32, 48, 88, 104, 64, 16, 2, 6, 8, 8, 16, 28, 24, 12, 16, 28, 32, 48, 88, 104, 64, 20, 16, 28, 32, 48, 88, 104, 72, 56, 88, 120, 160, 272, 384, 336, 160, 32, 2, 6, 8, 8, 16, 28, 24, 12, 16, 28, 32, 48, 88
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OFFSET
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0,2
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LINKS
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EXAMPLE
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Triangle begins:
1;
2,2;
2,6,8,4;
2,6,8,8,16,28,24,8;
2,6,8,8,16,28,24,12,16,28,32,48,88,104,64,16;
2,6,8,8,16,28,24,12,16,28,32,48,88,104,64,20,16,28,32,48,88,104,72,56,88,...
(End)
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MATHEMATICA
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CoefficientList[Series[Product[1+2x^(2^k-1)+2x^2^k, {k, 10}], {x, 0, 80}], x] (* Harvey P. Dale, Oct 07 2020 *)
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CROSSREFS
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For generating functions of the form Product_{k>=c} (1 + a*x^(2^k-1) + b*x^2^k)) for the following values of (a,b,c) see: (1,1,0) A160573, (1,1,1) A151552, (1,1,2) A151692, (2,1,0) A151685, (2,1,1) A151691, (1,2,0) A151688 and A152980, (1,2,1) A151550, (2,2,0) A151693, (2,2,1) A151694
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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