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A036088
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Centered cube numbers: (n+1)^10+n^10.
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6
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1, 1025, 60073, 1107625, 10814201, 70231801, 342941425, 1356217073, 4560526225, 13486784401, 35937424601, 87854788825, 199775856073, 427113146825, 865905045601, 1676162018401, 3115505528225
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Never prime, as a(n) = (2n^2 + 2n + 1) * (n^8 + 4n^7 + 18n^6 + 40n^5 + 56n^4 + 50n^3 + 27n^2 + 8n + 1), multiple of A001844(n). Semiprime for n in {2, 4, 7, 14, 19, 22, 32, 60, 65, 70, 87, 99, 102, 135, 137, ...}. [Jonathan Vos Post, Aug 26 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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FORMULA
| G.f. -(x^8 +1012*x^7 +46828*x^6 +408364*x^5 +901990*x^4 +408364*x^3 +46828*x^2 +1012*x+1)*(1+x)^2 / (x-1)^11. - R. J. Mathar, Aug 27 2011
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PROG
| (MAGMA) [(n+1)^10+n^10: n in [0..20]]; // Vincenzo Librandi, Aug 27 2011
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CROSSREFS
| Cf. A036085, A036087, A100267, A154535, A100266, A152913, A194155, A194185, A194216.
Sequence in context: A031620 A017683 A013958 * A023002 A168119 A180270
Adjacent sequences: A036085 A036086 A036087 * A036089 A036090 A036091
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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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