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A033547 Otto Haxel's guess for magic numbers of nuclear shells. +0
6
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; listen)
OFFSET

0,2

COMMENT

O. Haxel gave a construction procedure. The formulae are due to W. Lang.

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.

LINKS

V. Ladma, Magic Numbers

FORMULA

a(n) = n*(n^2+5)/3; g.f.: 2*x(x^2-x+1)/(1-x)^4.

CROSSREFS

Equals 2*A004006, partial sums of A014206, 2*(partial sums of A000124). Cf. A018226.

Sequence in context: A101586 A121968 A161212 this_sequence A050531 A027083 A123991

Adjacent sequences: A033544 A033545 A033546 this_sequence A033548 A033549 A033550

KEYWORD

easy,nonn,nice

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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