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6, 14, 22, 30, 38, 46, 54, 62, 70, 78, 86, 94, 102, 110, 118, 126, 134, 142, 150, 158, 166, 174, 182, 190, 198, 206, 214, 222, 230, 238, 246, 254, 262, 270, 278, 286, 294, 302, 310, 318, 326, 334, 342, 350, 358, 366, 374, 382, 390, 398, 406, 414, 422, 430
(list;
graph;
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internal format)
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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G.f.: (6 + 2*x) / (1 - x)^2.
E.g.f.: (6 + 8*x) * exp(x). (End)
Sum_{n>=0} (-1)^n/a(n) = (Pi + log(3-2*sqrt(2)))/(8*sqrt(2)). - Amiram Eldar, Dec 11 2021
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EXAMPLE
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G.f. = 6 + 14*x + 22*x^2 + 30*x^3 + 38*x^4 + 46*x^5 + 54*x^6 + 62*x^7 + ...
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MAPLE
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MATHEMATICA
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8Range[0, 60]+6 (* or *) LinearRecurrence[{2, -1}, {6, 14}, 60] (* Harvey P. Dale, Nov 14 2021 *)
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PROG
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(Haskell)
(PARI) Vec((6+2*x)/(1-x)^2 + O(x^100)) \\ Altug Alkan, Oct 23 2015
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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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STATUS
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approved
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