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A093770 Non-perfect powers for which q=A051903[n]/A051904[n] is an integer, A051904[n]>1. +0
1
10800, 16200, 18000, 21168, 31752, 40500, 43200, 45000, 49392, 52272, 67500, 72000, 73008, 78408, 84672, 98000, 109512, 111132, 124848, 137200, 145800, 155952, 172800, 172872, 187272, 191664, 197568, 209088, 228528, 233928, 242000 (list; graph; listen)
OFFSET

1,1

FORMULA

Solutions to integer values of q=A051903[x]/A051904[x], when A051904[n]>1.

MATHEMATICA

ffi[x_] :=Flatten[FactorInteger[x]] ep[x_] :=Table[Part[ffi[x], 2*w], {w, 1, lf[x]}] lf[x_] :=Length[FactorInteger[x]] Do[s1=Min[ep[n]]; s2=Max[ep[n]]; If[ !Equal[s1, 1]&&IntegerQ[q=(s2/s1)]&& Equal[Union[Table[IntegerQ[Part[ep[n], j]/s1], {j, 1, lf[n]}]], {False, True}], Print[n]], {n, 2, 10000000}]

CROSSREFS

Cf. A001597, A051903, A051904, A093769.

Sequence in context: A151934 A151935 A010089 this_sequence A144716 A123078 A065321

Adjacent sequences: A093767 A093768 A093769 this_sequence A093771 A093772 A093773

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 16 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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