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

Author

Philippe Deléham, Oct 06 2011

Keywords

• nonn
• easy

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).

Examples

			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.
		

Crossrefs

A007018

Programs

Mathematica

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