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A195945
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Powers of 13 which have no zero in their decimal expansion.
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9
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OFFSET
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1,2
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COMMENTS
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Probably finite. Is 3937376385699289 the largest term?
No further terms up to 13^25000. [From Harvey P. Dale, Oct 01 2011]
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LINKS
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Table of n, a(n) for n=1..9.
C. Rivera, Puzzle 607. A zeroless Prime power, on primepuzzles.net, Sept. 24, 2011.
W. Schneider, NoZeros: Powers n^k without Digit Zero (local copy of www.wschnei.de/digit-related-numbers/nozeros.html), as of Jan 30 2003.
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FORMULA
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A195945 = A001022 intersect A052382 (as a set).
A195945 = A001022 o A195944 (as a function).
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MATHEMATICA
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Select[13^Range[0, 250], DigitCount[#, 10, 0]==0&] (* From Harvey P. Dale, Oct 01 2011 *)
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PROG
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(PARI) for( n=0, 9999, is_A052382(13^n) && print1(13^n, ", "))
(MAGMA) [13^n: n in [0..2*10^4] | not 0 in Intseq(13^n)]; // Bruno Berselli, Sep 26 2011
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CROSSREFS
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Cf. A195942, A195943, A195944, A195946, A195908, A195948, A007377, A008839, A030700, A030701, A030702, A030703, A030704, A030705, A030706.
Sequence in context: A045597 A045600 A001022 * A020533 A176596 A176023
Adjacent sequences: A195942 A195943 A195944 * A195946 A195947 A195948
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KEYWORD
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nonn,base
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AUTHOR
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M. F. Hasler (oeis-removeThis@hasler.fr), Sep 25 2011
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STATUS
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approved
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