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Search: id:A098034
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| A098034 |
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Numbers that are divisible both by the sum and by the product of the squares of their digits. |
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+0
1
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| 111, 11112, 1122112, 111111111, 122121216, 1111112112, 1111211136, 1116122112, 1211162112, 11111113116, 11112122112, 11121114112, 11132111232, 11133122112, 11213111232, 11311322112, 12111213312, 21111311232, 31111221312
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Also called "uncommon numbers". Sequence contains the repunits R_m, where m=A014950,m>1. - Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 14 2008
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 111, p. 39, Ellipses, Paris 2008.
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LINKS
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Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 14 2008, Table of n, a(n) for n = 1..40
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EXAMPLE
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1122112 is in the sequence because 1^2 + 1^2 + 2^2 + 2^2 + 1^2 + 1^2 + 2^2=16,(1*1*2*2*1*1*2)^2=64 and we have 1122112=16*70132=64*17533.
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CROSSREFS
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Sequence in context: A138146 A100706 A111864 this_sequence A109242 A165155 A078270
Adjacent sequences: A098031 A098032 A098033 this_sequence A098035 A098036 A098037
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KEYWORD
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nonn,base
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 10 2004
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EXTENSIONS
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More terms from Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 14 2008
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