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A081463
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Numbers which when multiplied by their final digit have products with same digital sequence except that last is first. Numbers obtained by concatenating a term any number of times with itself also have the defining property and are omitted.
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3
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1, 102564, 1012658227848, 105263157894736842, 1014492753623188405797, 1034482758620689655172413793, 102040816326530612244897959183673469387755, 10112359550561797752808988764044943820224719, 1016949152542372881355932203389830508474576271186440677966
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The final digit determines the number by an obvious algorithm (see PARI program), hence the sequence has exactly nine terms (for final digit 1, ..., 9), self-concatenations being excluded. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) Apr 24 2003
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REFERENCES
| M. J. Halm, More Sequences, Mpossibilities 83, April 2003.
C. A. Pickover, Wonders of Numbers, p. 193.
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LINKS
| M. J. Halm, Sequences
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
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EXAMPLE
| a(1) = 102564 because 102564*4 = 410256
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PROG
| (PARI) {f(digit)=local(v, m, k, c, s); v=""; m=0; k=digit; c=0; while(m!=digit, v=concat(k, v); m=digit*k+c; s=divrem(m, 10); c=s[1]; k=s[2]); eval(v)}
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CROSSREFS
| Sequence in context: A184567 A034089 A146569 * A014884 A015330 A147526
Adjacent sequences: A081460 A081461 A081462 * A081464 A081465 A081466
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KEYWORD
| nonn,base,fini,full
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AUTHOR
| Michael Joseph Halm (hierogamous(AT)lycos.com), Apr 20 2003
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EXTENSIONS
| Edited and missing terms added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) Apr 22 2003
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