A194566 Centered cube numbers: (n+1)^100+n^100.

1, 1267650600228229401496703205377, 515377520732011332304111729993850674198810727377, 1606938044259505653062694103672199063651968615055494942823377

Offset: 0

Author

Jonathan Vos Post, Aug 29 2011

Keywords

• nonn
• easy

Comments

Can never be prime, and after a(0) must have at least 3 prime factors, as a(n) = (2*n^4 + 4*n^3 + 6*n^2 + 4*n + 1) * p_16(n) * p_80(n).

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A036085-A036102, A100267, A154535, A100266, A152913, A194155, A194185, A194216, A194553.

Programs

Maple

a:= n-> (n+1)^100 +n^100: seq (a(n), n=0..20);

Mathematica

Total/@Partition[Range[0,5]^100,2,1] (* Harvey P. Dale, Aug 10 2013 *)

Formula

a(n) = (n+1)^100 + n^100.