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1, 1, 5, 3, 9, 5, 13, 7, 17, 9, 21, 11, 25, 13, 29, 15, 33, 17, 37, 19, 41, 21, 45, 23, 49, 25, 53, 27, 57, 29, 61, 31, 65, 33, 69, 35, 73, 37, 77, 39, 81, 41, 85, 43, 89, 45, 93, 47, 97, 49, 101, 51, 105, 53, 109, 55, 113, 57, 117, 59, 121, 61, 125, 63, 129, 65, 133, 67, 137, 69, 141, 71
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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LINKS
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FORMULA
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2k+1 interleaved with 4k+1.
O.g.f.: x*(1 + x + 3*x^2 + x^3)/((1 - x)^2*(1 + x)^2).
E.g.f.: 1 + (2*x - 1)*cosh(x) + (x - 1)*sinh(x). (End)
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MAPLE
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seq((3/2)*n - (n/2)*(-1)^n - 1, n=1..60); # Ridouane Oudra, Sep 08 2023
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MATHEMATICA
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Table[Riffle[{4*n + 1}, {2*n + 1} ], {n, 0, 50}] // Flatten (* G. C. Greubel, Oct 21 2017 *)
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PROG
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(Python)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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