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A073172 The value of index for composite numbers with square subscripts which are also square numbers. +0
2
1, 4, 9, 1024, 5621641, 10188864, 27657081, 308950929 (list; graph; listen)
OFFSET

1,2

FORMULA

Solutions to c[x^2]=y^2, values of x^2; where c(j)=jth composite number; See program.

EXAMPLE

a(4)=1024 corresponds to composite=1225=35.35=c(1024)=c(32.32).

MATHEMATICA

c[x_] := FixedPoint[x+PrimePi[ # ]+1&, x] Do[s=c[n^2]; If[IntegerQ[Sqrt[s]], Print[n^2]], {n, 1, 1000000}]

CROSSREFS

Cf. A002808, A073171.

Sequence in context: A063248 A027522 A028869 this_sequence A111443 A051499 A008345

Adjacent sequences: A073169 A073170 A073171 this_sequence A073173 A073174 A073175

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 19 2002

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.


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