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Search: id:A078543
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A078543 Balanced refactorable numbers. +0
1
1, 2, 12, 56, 248, 12192, 28896, 60960, 61344, 66528, 86304, 94944, 129504, 133920, 140448, 182880, 201924, 207264, 242316, 282720, 408672, 416640, 426720, 429408, 604128, 664608, 671760, 776736, 792480, 854496, 862752, 906528 (list; graph; listen)
OFFSET

1,2

FORMULA

Intersection of A033950 and A020492.

EXAMPLE

n=56: tau[56]=8, sigma[56]=120,phi[56]=24, q1=120/24=5 for balancedness,q2=120/8=15 for refactorability

MATHEMATICA

Do[s=DivisorSigma[1, n]/EulerPhi[n]; If[ !IntegerQ[s]&&!PrimeQ[n], Print[n]], {n, 1, 256}]

CROSSREFS

Cf. A020492, A078538, A078539, A078540.

Sequence in context: A127221 A020522 A037130 this_sequence A084128 A044047 A105487

Adjacent sequences: A078540 A078541 A078542 this_sequence A078544 A078545 A078546

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Dec 04 2002

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


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