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A256290
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Numbers which have only digits 4 and 5 in base 10.
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17
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4, 5, 44, 45, 54, 55, 444, 445, 454, 455, 544, 545, 554, 555, 4444, 4445, 4454, 4455, 4544, 4545, 4554, 4555, 5444, 5445, 5454, 5455, 5544, 5545, 5554, 5555, 44444, 44445, 44454, 44455, 44544, 44545, 44554, 44555, 45444, 45445, 45454, 45455, 45544
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..8190
Index entries for 10-automatic sequences.
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FORMULA
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a(n) = A007931(n) + A002277(A000523(n+1)) = A032834(n) + A256077(n) etc.
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MATHEMATICA
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Flatten[Table[FromDigits[#, 10]&/@Tuples[{4, 5}, n], {n, 5}]]
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PROG
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(Magma) [n: n in [1..60000] | Set(IntegerToSequence(n, 10)) subset {5, 4}];
(PARI) A256290(n)=vector(#n=binary(n+1)[2..-1], i, 10^(#n-i))*n~+10^#n\9*4
(Magma) [n: n in [1..100000] | Set(Intseq(n)) subset {4, 5}]; // Vincenzo Librandi, Aug 19 2016
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CROSSREFS
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Cf. A007088 (digits 0 & 1), A007931 (digits 1 & 2), A032810 (digits 2 & 3), A032834 (digits 3 & 4), A256291 (digits 5 & 6), A256292 (digits 6 & 7), A256340 (digits 7 & 8), A256341 (digits 8 & 9).
Sequence in context: A123304 A270129 A271293 * A041037 A041038 A239860
Adjacent sequences: A256287 A256288 A256289 * A256291 A256292 A256293
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KEYWORD
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nonn,base,easy
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AUTHOR
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M. F. Hasler, Mar 27 2015
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STATUS
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approved
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