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 A033043 Sums of distinct powers of 6. 11
 0, 1, 6, 7, 36, 37, 42, 43, 216, 217, 222, 223, 252, 253, 258, 259, 1296, 1297, 1302, 1303, 1332, 1333, 1338, 1339, 1512, 1513, 1518, 1519, 1548, 1549, 1554, 1555, 7776, 7777, 7782, 7783, 7812, 7813, 7818, 7819, 7992, 7993, 7998, 7999, 8028, 8029, 8034 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Numbers without any base-6 digits greater than 1. LINKS T. D. Noe, Table of n, a(n) for n = 0..1023 FORMULA a(n) = Sum_{i=0..m} d(i)*6^i, where Sum_{i=0..m} d(i)*2^i is the base-2 representation of n. a(n) = A097252(n)/5. a(2n) = 6*a(n), a(2n+1) = a(2n)+1. a(n) = Sum_{k>=0} A030308(n,k)*6^k. - Philippe Deléham, Oct 20 2011 G.f.: (1/(1 - x))*Sum_{k>=0} 6^k*x^(2^k)/(1 + x^(2^k)). - Ilya Gutkovskiy, Jun 04 2017 MATHEMATICA t = Table[FromDigits[RealDigits[n, 2], 6], {n, 0, 100}] (* Clark Kimberling, Aug 02 2012 *) FromDigits[#, 6]&/@Tuples[{0, 1}, 6] (* Harvey P. Dale, Mar 31 2016 *) PROG (PARI) A033043(n, b=6)=subst(Pol(binary(n)), 'x, b) \\ M. F. Hasler, Feb 01 2016 (PARI) a(n)=fromdigits(binary(n), 6) \\ Charles R Greathouse IV, Jan 11 2017 CROSSREFS Cf. A000695, A005836, A033043-A033052. Row 6 of array A104257. Sequence in context: A041553 A047190 A237711 * A037411 A025626 A175167 Adjacent sequences:  A033040 A033041 A033042 * A033044 A033045 A033046 KEYWORD nonn,base,easy AUTHOR EXTENSIONS Extended by Ray Chandler, Aug 03 2004 STATUS approved

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Last modified October 16 07:30 EDT 2019. Contains 328051 sequences. (Running on oeis4.)