A036100 Centered cube numbers: (n+1)^22 + n^22.

1, 4194305, 31385253913, 17623567104025, 2401777977060041, 134005889633282761, 4041442752425255185, 77696797343421194513, 1058557878478449439345, 10984770902183611232881

Offset

0,2

Comments

Can never be prime, as a(n) = (2n^2 + 2n + 1) * (n^20 + 10n^19 + 105n^18 + 660n^17 + 2945n^16 + 9892n^15 + 25942n^14 + 54384n^13 + 92530n^12 + 128988n^11 + 148070n^10 + 140152n^9 + 109136n^8 + 69498n^7 + 35819n^6 + 14704n^5 + 4693n^4 + 1122n^3 + 189n^2 + 20n + 1). a(2) is semiprime (see A001358). [Jonathan Vos Post, Aug 17 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], 2, 1]^22) (* Harvey P. Dale, Jun 28 2015 *)

Prog

(Magma) [(n+1)^22+n^22: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011

Crossrefs

Cf. A010810, A036098, A036099.

Sequence in context: A017579 A017707 A013970 * A236946 A258884 A250543

Adjacent sequences: A036097 A036098 A036099 * A036101 A036102 A036103

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved