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A010014
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a(0) = 1, a(n) = 24*n^2 + 2 for n>0.
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4
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1, 26, 98, 218, 386, 602, 866, 1178, 1538, 1946, 2402, 2906, 3458, 4058, 4706, 5402, 6146, 6938, 7778, 8666, 9602, 10586, 11618, 12698, 13826, 15002, 16226, 17498, 18818, 20186, 21602, 23066, 24578, 26138, 27746, 29402, 31106, 32858, 34658, 36506, 38402, 40346
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Number of points of L_infinity norm n in the simple cubic lattice Z^3. - N. J. A. Sloane, Apr 15 2008
Numbers of cubes needed to completely "cover" another cube. - Xavier Acloque, Oct 20 2003
First bisection of A005897. After 1, all terms are in A000408. - Bruno Berselli, Feb 06 2012
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LINKS
| Bruno Berselli, Table of n, a(n) for n = 0..1000
X. Acloque Polynexus Numbers and other mathematical wonders [broken link]
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| a(n) = (2*n+1)^3-(2*n-1)^3 (with different offset). - Xavier Acloque, Oct 20 2003
G.f.: (1+x)*(1+22*x+x^2)/(1-x)^3. - Bruno Berselli, Feb 06 2012
a(n) = (2n-1)^2+(2n+1)^2+(4n)^2 for n>0. - Bruno Berselli, Feb 06 2012
E.g.f.: (x*(x+1)*24+2)*e^x-1. - Gopinath A. R., Feb 14 2012
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MATHEMATICA
| a=1; lst={a}; Do[b=n^3-a; AppendTo[lst, b]; a+=b, {n, 3, 6!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 18 2009]
Join[{1}, 24 Range[41]^2 + 2] (* Bruno Berselli, Feb 06 2012 *)
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CROSSREFS
| Cf. A206399.
Sequence in context: A205998 A205991 A038654 * A095796 A175549 A159541
Adjacent sequences: A010011 A010012 A010013 * A010015 A010016 A010017
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KEYWORD
| nonn,easy,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Xavier Acloque, Oct 20 2003
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