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A063495
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(2*n-1)*(5*n^2-5*n+2)/2.
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17
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1, 18, 80, 217, 459, 836, 1378, 2115, 3077, 4294, 5796, 7613, 9775, 12312, 15254, 18631, 22473, 26810, 31672, 37089, 43091, 49708, 56970, 64907, 73549, 82926, 93068, 104005, 115767, 128384, 141886, 156303, 171665, 188002, 205344
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OFFSET
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1,2
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REFERENCES
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T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (10).
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(1)=1, a(2)=18, a(3)=80, a(4)=217, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)- a(n-4) [From Harvey P. Dale, Dec 18 2011]
G.f.: (x^3+14*x^2+14*x+1)/(x-1)^4 [From Harvey P. Dale, Dec 18 2011]
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MATHEMATICA
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Table[(2n-1)(5n^2-5n+2)/2, {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 18, 80, 217}, 40] (* From Harvey P. Dale, Dec 18 2011 *)
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PROG
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(PARI) { for (n=1, 1000, write("b063495.txt", n, " ", (2*n - 1)*(5*n^2 - 5*n + 2)/2) ) } [From Harry J. Smith, Aug 23 2009]
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CROSSREFS
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1/12*t*(2*n^3-3*n^2+n)+2*n-1 for t = 2, 4, 6, ... gives A049480, A005894, A063488, A001845, A063489, A005898, A063490, A057813, A063491, A005902, A063492, A005917, A063493, A063494, A063495, A063496.
Sequence in context: A197886 A039453 A219144 * A039408 A043231 A044011
Adjacent sequences: A063492 A063493 A063494 * A063496 A063497 A063498
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Aug 01 2001
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STATUS
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approved
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