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A036102
Centered cube numbers: (n+1)^24 + n^24.
3
1, 16777217, 282446313697, 281757406247137, 59886119752101281, 4797985983097007521, 196319612718888031297, 4913947714250211628097, 84488809559742155077057, 1079766443076872509863361
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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