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A097253
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Numbers whose set of base 7 digits is {0,6}.
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2
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0, 6, 42, 48, 294, 300, 336, 342, 2058, 2064, 2100, 2106, 2352, 2358, 2394, 2400, 14406, 14412, 14448, 14454, 14700, 14706, 14742, 14748, 16464, 16470, 16506, 16512, 16758, 16764, 16800, 16806, 100842, 100848, 100884, 100890, 101136
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OFFSET
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1,2
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COMMENTS
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n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a power of 7 for every i.
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LINKS
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FORMULA
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a(2n) = 7*a(n), a(2n+1) = a(2n)+6.
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MATHEMATICA
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fQ[n_]:=Union@Join[{0, 6}, IntegerDigits[n, 7]]=={0, 6}; Select[Range[0, 140000], fQ] (* Vincenzo Librandi, May 25 2012 *)
FromDigits[#, 7]&/@Tuples[{0, 6}, 6] (* This program is several thousand times faster than the first program, above. *) (* Harvey P. Dale, Aug 12 2023 *)
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PROG
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(Magma) [n: n in [0..200000] | Set(IntegerToSequence(n, 7)) subset {0, 6}]; // Vincenzo Librandi, May 25 2012
(Maxima) a[0]:0$ a[n]:=7*a[floor(n/2)]+3*(1-(-1)^n)$ makelist(a[n], n, 0, 36); /* Bruno Berselli, May 25 2012 */
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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