A036096 Centered cube numbers: (n+1)^18 + n^18.
1, 262145, 387682633, 69106897225, 3883416742361, 105374653934041, 1729973554578865, 19642812107392433, 168109033806481105, 1150094635296999121, 6559917313492231481, 32183250594377475385
Offset: 0
Examples
9^18 + (9+1)^18 = 1150094635296999121 = 181 * 8461 * 750988536481, the minimum nontrivial number of prime factors.
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
Programs
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Magma
[(n+1)^18+n^18: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011
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Mathematica
Total/@Partition[Range[0,20]^18,2,1] (* Harvey P. Dale, May 10 2022 *)
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PARI
a(n)=(n+1)^18+n^18 \\ Charles R Greathouse IV, Aug 30 2017
Comments