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A132344
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a(n) = n*2^(floor(n/2)).
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0
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0, 1, 4, 6, 16, 20, 48, 56, 128, 144, 320, 352, 768, 832, 1792, 1920, 4096, 4352, 9216, 9728, 20480, 21504, 45056, 47104, 98304, 102400, 212992, 221184, 458752, 475136, 983040, 1015808, 2097152, 2162688, 4456448, 4587520, 9437184, 9699328, 19922944, 20447232, 41943040, 42991616
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..41.
Simon Plouffe, Illustration
Index entries for linear recurrences with constant coefficients, signature (0,4,0,-4).
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FORMULA
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G.f.: x*(1 + 4*x + 2*x^2)/(1 - 2*x^2)^2. - Ilya Gutkovskiy, Feb 24 2017
a(n) = n*A016116(n). - Michel Marcus, Feb 17 2018
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MAPLE
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seq(n*2^(floor(n/2)), n=1..120);
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MATHEMATICA
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Table[n*2^Floor[n/2], {n, 0, 100}] (* Wesley Ivan Hurt, Dec 12 2013 *)
LinearRecurrence[{0, 4, 0, -4}, {0, 1, 4, 6}, 50] (* Harvey P. Dale, Aug 27 2022 *)
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PROG
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(PARI) a(n) = n*2^(n\2); \\ Michel Marcus, Feb 17 2018
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CROSSREFS
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Cf. A004526, A016116.
Sequence in context: A304909 A302119 A120542 * A306905 A097970 A044858
Adjacent sequences: A132341 A132342 A132343 * A132345 A132346 A132347
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KEYWORD
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nonn,easy
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AUTHOR
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Simon Plouffe, Nov 19 2007
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EXTENSIONS
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More terms from Michel Marcus, Feb 17 2018
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STATUS
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approved
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