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A036102
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Centered cube numbers: (n+1)^24+n^24.
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3
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1, 16777217, 282446313697, 281757406247137, 59886119752101281, 4797985983097007521, 196319612718888031297, 4913947714250211628097, 84488809559742155077057, 1079766443076872509863361
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Can never be prime, as a(n) = (2n^8 + 8n^7 + 28n^6 + 56n^5 + 70n^4 + 56n^3 + 28n^2 + 8n + 1) * (n^16 + 8n^15 + 92n^14 + 504n^13 + 1750n^12 + 4312n^11 + 7980n^10 + 11432n^9 + 12869n^8 + 11440n^7 + 8008n^6 + 4368n^5 + 1820n^4 + 560n^3 + 120n^2 + 16n + 1). [Jonathan Vos Post, Aug 28 2011]
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REFERENCES
| B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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PROG
| (MAGMA) [(n+1)^24+n^24: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011
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CROSSREFS
| Cf. A010812, A036100, A036101.
Sequence in context: A017580 A017711 A013972 * A143510 A043680 A204673
Adjacent sequences: A036099 A036100 A036101 * A036103 A036104 A036105
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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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