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A033547
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Otto Haxel's guess for magic numbers of nuclear shells.
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15
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0, 2, 6, 14, 28, 50, 82, 126, 184, 258, 350, 462, 596, 754, 938, 1150, 1392, 1666, 1974, 2318, 2700, 3122, 3586, 4094, 4648, 5250, 5902, 6606, 7364, 8178, 9050, 9982, 10976, 12034, 13158, 14350, 15612, 16946, 18354, 19838, 21400, 23042, 24766, 26574, 28468
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OFFSET
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0,2
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COMMENTS
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O. Haxel gave a construction procedure. The formulas are due to Wolfdieter Lang.
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LINKS
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FORMULA
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a(n) = n*(n^2 + 5)/3.
G.f.: 2*x*(1 - x + x^2)/(1-x)^4.
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MAPLE
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MATHEMATICA
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LinearRecurrence[{4, -6, 4, -1}, {0, 2, 6, 14}, 50] (* Vincenzo Librandi, Apr 06 2015 *)
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PROG
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(Sage) [n*(n^2+5)/3 for n in range(50)] # G. C. Greubel, Oct 12 2019
(GAP) List([0..50], n-> n*(n^2+5)/3); # G. C. Greubel, Oct 12 2019
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CROSSREFS
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KEYWORD
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easy,nonn,nice
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AUTHOR
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STATUS
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approved
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