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

1, 1267650600228229401496703205377, 515377520732011332304111729993850674198810727377, 1606938044259505653062694103672199063651968615055494942823377

Offset

0,2

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

Formula

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

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 *)

Crossrefs

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

Sequence in context: A144616 A095454 A261700 * A194216 A058446 A292635

Adjacent sequences: A194563 A194564 A194565 * A194567 A194568 A194569

Keyword

nonn,easy

Author

Jonathan Vos Post, Aug 29 2011

Status

approved