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A078296
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a(1) = 1, a(n) for n > 1 is the smallest multiple of a(n-1) that begins with the concatenation 123... up to n.
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3
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1, 12, 1236, 1234764, 12345170472, 1234566427881888, 1234567662448315881888, 123456781059643537568590582656, 12345678970161821174363821245734078592, 123456789109025621175870796087877366124764227584
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| For n = 3 we have a(n-1) = a(2) = 12; 103*12 = 1236 is the smallest multiple of a(2) that begins with 123, so a(3) = 1236.
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PROG
| (PARI) {print1(a=1, ", "); for(n=2, 10, k=floor(log(a)/log(10))+1; v=Str(1); for(i=2, n, v=concat(v, Str(i))); s=eval(v); t=s+1; m=floor(log(s)/log(10))+1; d=k-m; s=s*10^d; t=t*10^d; b=1; j=d; while(b>0, q=floor(s/a); while(b>0&&(p=q*a)<t, if(p>=s, print1(p, ", "); b=0, q++)); s=10*s; t=10*t); a=p)}
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CROSSREFS
| Cf. A078395, A078396, A078397.
Sequence in context: A080814 A078294 A009155 * A137343 A133461 A174745
Adjacent sequences: A078293 A078294 A078295 * A078297 A078298 A078299
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KEYWORD
| base,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 26 2002
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EXTENSIONS
| Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 06 2002
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