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Search: id:A066565
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| A066565 |
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Numbers which when successively multiplied by their nonzero digits produce a square. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 18, 45, 49, 96, 98, 100, 135, 144, 200, 250, 288, 289, 300, 338, 378, 384, 400, 405, 441, 500, 600, 700, 800, 882, 900, 1444, 1445, 1575, 1715, 1800, 2205, 2209, 2744, 2809, 3703, 4418, 4500, 4900, 5290, 6144, 6912, 6962, 7560, 7623
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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45 is a member as 45*4*5 = 900 = 30^2; 135 is a member as 135*3*5 = 2025 = 45^2; 200 is a member as 200*2 = 400.
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PROGRAM
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(PARI):a066565(a, b) = local(n, s, d, q); for(n=a, b, s=1; q=n; while(q>0, d=divrem(q, 10); q=d[1]; s=s*max(1, d[2])); if(issquare(n*s), print1(n, ", "))) a066565(1, 20000)
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CROSSREFS
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Sequence in context: A108690 A032944 A048409 this_sequence A095966 A092596 A118763
Adjacent sequences: A066562 A066563 A066564 this_sequence A066566 A066567 A066568
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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 24 2001
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