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Search: id:A066566
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| A066566 |
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Numbers which when decremented by the sum of their digits produce a square. |
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+0
2
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 330, 331, 332, 333
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The squares in this sequence are divisible by 9.
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EXAMPLE
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155 is a member as 155-1-5-5=144=12^2.
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PROGRAM
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(PARI): digitsum(n) = local(s, d); s=0; while(n>0, d=divrem(n, 10); n=d[1]; s=s+d[2]); s a066566(m)= local(n); for(n=0, m, if(issquare(n-digitsum(n)), print1(n, ", "))) a066566(7000)
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CROSSREFS
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Cf. A066564.
Adjacent sequences: A066563 A066564 A066565 this_sequence A066567 A066568 A066569
Sequence in context: A057605 A059962 A110548 this_sequence A067080 A008554 A055644
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 18 2001
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Dec 20 2001
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