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 A238938 Powers of 2 without the digit '0' in their decimal expansion. 17
 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 8192, 16384, 32768, 65536, 262144, 524288, 16777216, 33554432, 134217728, 268435456, 2147483648, 4294967296, 8589934592, 17179869184, 34359738368, 68719476736, 137438953472, 549755813888, 562949953421312, 2251799813685248, 147573952589676412928 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Conjectured to be finite and complete. See the OEIS wiki page for further information, references and links. LINKS Daniel Mondot, Table of n, a(n) for n = 1..36 M. F. Hasler, Zeroless powers, OEIS wiki, Mar 07 2014 FORMULA a(n) = 2^A007377(n). EXAMPLE 256 = 2^8 is in the sequence because 256 has a 2, a 5 and a 6 but no 0's. 512 = 2^9 is also in because it has a 1, a 2 and a 5 but no 0's. 1024 = 2^10 is not in the sequence because it has a 0. MATHEMATICA Select[2^Range[0, 127], DigitCount[#, 10, 0] == 0 &] (* Alonso del Arte, Mar 07 2014 *) PROG (PARI) for(n=0, 99, vecmin(digits(2^n))&& print1(2^n", ")) CROSSREFS Cf. A007377, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944. Cf. A195908, A195946, A195945. Cf. A195942, A195943, A027870, A102483. Sequence in context: A274862 A275076 A275064 * A103662 A180211 A275075 Adjacent sequences: A238935 A238936 A238937 * A238939 A238940 A238941 KEYWORD nonn,base AUTHOR M. F. Hasler, Mar 07 2014 EXTENSIONS 'fini' keyword removed as finiteness is only conjectured by Max Alekseyev, Apr 10 2019 STATUS approved

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Last modified November 30 02:55 EST 2023. Contains 367452 sequences. (Running on oeis4.)