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A036092 Centered cube numbers: (n+1)^14+n^14. 3
1, 16385, 4799353, 273218425, 6371951081, 84467679721, 756587236945, 5076269583953, 27274838966065, 122876792454961, 479749833583241, 1663668298132105, 5221294850248153, 15049383211257305, 40304932850948641 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Never prime, as a(n) = (2n^2 + 2n + 1) * (n^12 + 6n^11 + 39n^10 + 140n^9 + 341n^8 + 590n^7 + 741n^6 + 680n^5 + 451n^4 + 210n^3 + 65n^2 + 12n + 1).  Semiprime for n in {2, 5, 22, 24, 34, 35, 39, 84, 217, 220, 285, ...}. [Jonathan Vos Post, Aug 26, 2011]

REFERENCES

B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

PROG

(MAGMA) [(n+1)^14+n^14: n in [0..20]]; // Vincenzo Librandi, Aug 27 2011

CROSSREFS

Cf. A000040, A036085, A036087, A036088, A036089, A036090, A036091, A100267, A154535, A100266, A152913, A194155, A194185, A194216.

Sequence in context: A160868 A017691 A013962 * A168507 A045037 A168633

Adjacent sequences:  A036089 A036090 A036091 * A036093 A036094 A036095

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 15 12:25 EST 2012. Contains 205786 sequences.