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A008515
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5-dimensional centered cube numbers.
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1
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1, 33, 275, 1267, 4149, 10901, 24583, 49575, 91817, 159049, 261051, 409883, 620125, 909117, 1297199, 1807951, 2468433, 3309425, 4365667, 5676099, 7284101, 9237733, 11589975, 14398967, 17728249, 21647001, 26230283, 31559275, 37721517, 44811149, 52929151, 62183583, 72689825, 84570817, 97957299, 112988051, 129810133, 148579125
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| These are never prime, as a(n) = (2n+1)*(n^4+2*n^3+4*n^2+3*n+1) [Jonathan Vos Post, Aug 18 2011].
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index to sequences with linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
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FORMULA
| a(n) = n^5+(n+1)^5 = 2*n^5+5*n^4+10*n^3+10*n^2+5*n+1.
Contribution by Bruno Berselli, Aug 25 2011: (Start)
G.f.: (1+x)*(1+26*x+66*x^2+26*x^3+x^4)/(1-x)^6.
a(n) = -a(-n-1) = +6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). (End)
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MAPLE
| n^5+(n+1)^5;
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PROG
| (PARI) a(n) = n^5+(n+1)^5;
(MAGMA) [n^5+(n+1)^5: n in [0..37]]; // Bruno Berselli, Aug 25 2011
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CROSSREFS
| Apart from the first term, a subsequence of A088703.
Sequence in context: A197398 A061223 A119782 * A179995 A000539 A023874
Adjacent sequences: A008512 A008513 A008514 * A008516 A008517 A008518
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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