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A063521
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n*(7*n^2-4)/3.
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19
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0, 1, 16, 59, 144, 285, 496, 791, 1184, 1689, 2320, 3091, 4016, 5109, 6384, 7855, 9536, 11441, 13584, 15979, 18640, 21581, 24816, 28359, 32224, 36425, 40976, 45891, 51184, 56869, 62960, 69471, 76416, 83809, 91664, 99995, 108816, 118141
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OFFSET
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0,3
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COMMENTS
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Also as a(n)=(1/6)*(14*n^3-8*n), n>0: structured heptagonal anti-diamond numbers (vertex structure 15) (Cf. A100186 = alternate vertex; A100188 = structured anti-diamonds; A100145 for more on structured numbers). - James A. Record (james.record(AT)gmail.com), Nov. 7, 2004.
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REFERENCES
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T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (11).
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 0..1000
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FORMULA
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G.f.: x*(1+12*x+x^2)/(1-x)^4. [Colin Barker, Jan 10 2012]
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MATHEMATICA
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lst={}; Do[AppendTo[lst, n*(7*n^2-4)/3], {n, 1, 6!}]; lst [From Vladimir Joseph Stephan Orlovsky, Sep 02 2008]
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PROG
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(PARI) { for (n=0, 1000, write("b063521.txt", n, " ", n*(7*n^2 - 4)/3) ) } [From Harry J. Smith, Aug 25 2009]
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CROSSREFS
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1/12*t*(n^3-n)+n for t = 2, 4, 6, ... gives A004006, A006527, A006003, A005900, A004068, A000578, A004126, A000447, A004188, A004466, A004467, A007588, A062025, A063521, A063522, A063523.
Sequence in context: A005905 A177890 A220974 * A027117 A187173 A039406
Adjacent sequences: A063518 A063519 A063520 * A063522 A063523 A063524
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Aug 02 2001
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STATUS
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approved
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