A196872 A007018(n) repeated A007018(n) times.

1, 2, 2, 6, 6, 6, 6, 6, 6, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806, 1806

Offset

0,2

Comments

Sequence of integers k_n in which k_n appears k_n times and k_n =1+((k_0)^2+(k_1)^2+...+(k_(n-1))^2).

Links

Table of n, a(n) for n=0..67.

Example

k_0=1,and k_1=1+1=2 ;
1,2,2, and k_2=1+(1+2+2)=1+5=6 ;
1,2,2,6,6,6,6,6,6, and k_3=1+(1+2+2+6+6+6+6+6+6)=1+41=42 ;
1,2,2,6,6,6,6,6,6,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,and k_4=1+(1+2+2+...+42)=1+1805=1806 ; etc.

Mathematica

Table[#, #]&/@NestList[#^2+#&, 1, 4] //Flatten (* Harvey P. Dale, Jul 30 2021 *)

Crossrefs

A007018

Sequence in context: A063944 A086447 A324032 * A319865 A350657 A140219

Adjacent sequences: A196869 A196870 A196871 * A196873 A196874 A196875

Keyword

nonn,easy

Author

Philippe Deléham, Oct 06 2011

Status

approved