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A033547
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Otto Haxel's guess for magic numbers of nuclear shells.
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5
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| O. Haxel gave a construction procedure. The formulae are due to W. Lang.
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REFERENCES
| O. Haxel, Die Entstehung des Schalenmodells der Atomkerne, Physikalische Blaetter, vol. 50, p. 339, 1994.
O. Haxel et al., On the "Magic Numbers" in Nuclear Structure, Phys. Rev., 75 (1949), 1766.
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LINKS
| V. Ladma, Magic Numbers
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FORMULA
| a(n) = n*(n^2+5)/3; g.f.: 2*x(x^2-x+1)/(1-x)^4.
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MATHEMATICA
| Table[n (n^2+5)/3, {n, 0, 50}] (* From Harvey P. Dale, Apr 07 2011 *)
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CROSSREFS
| Equals 2*A004006, partial sums of A014206, 2*(partial sums of A000124). Cf. A018226.
Sequence in context: A178080 A121968 A161212 * A050531 A027083 A169948
Adjacent sequences: A033544 A033545 A033546 * A033548 A033549 A033550
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KEYWORD
| easy,nonn,nice
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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