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Search: id:A081463
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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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+0
4
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| 1, 102564, 1012658227848, 105263157894736842, 1014492753623188405797, 1034482758620689655172413793, 102040816326530612244897959183673469387755, 10112359550561797752808988764044943820224719, 1016949152542372881355932203389830508474576271186440677966
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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
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M. J. Halm, More Sequences, Mpossibilities 83, April 2003.
C. A. Pickover, Wonders of Numbers, p. 193.
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LINKS
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M. J. Halm, Sequences
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
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EXAMPLE
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a(1) = 102564 because 102564*4 = 410256
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PROGRAM
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(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
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Sequence in context: A010329 A034089 A146569 this_sequence A014884 A015330 A147526
Adjacent sequences: A081460 A081461 A081462 this_sequence A081464 A081465 A081466
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Michael Joseph Halm (hierogamous(AT)lycos.com), Apr 20 2003
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EXTENSIONS
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Edited and missing terms added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) Apr 22 2003
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