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A036102 Centered cube numbers: (n+1)^24 + n^24. 3
1, 16777217, 282446313697, 281757406247137, 59886119752101281, 4797985983097007521, 196319612718888031297, 4913947714250211628097, 84488809559742155077057, 1079766443076872509863361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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]

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

MATHEMATICA

Total/@Partition[Range[0, 10]^24, 2, 1] (* Harvey P. Dale, Nov 23 2013 *)

PROG

(MAGMA) [(n+1)^24+n^24: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011

CROSSREFS

Cf. A010812, A036100, A036101.

Sequence in context: A017580 A017711 A013972 * A230636 A283029 A250933

Adjacent sequences:  A036099 A036100 A036101 * A036103 A036104 A036105

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 19 17:46 EDT 2021. Contains 347564 sequences. (Running on oeis4.)