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A196872
A007018(n) repeated A007018(n) times.
0
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).
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
KEYWORD
nonn,easy
AUTHOR
Philippe Deléham, Oct 06 2011
STATUS
approved