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A284380 Numbers n with digits 5 and 7 only. 6

%I #15 Sep 08 2022 08:46:19

%S 5,7,55,57,75,77,555,557,575,577,755,757,775,777,5555,5557,5575,5577,

%T 5755,5757,5775,5777,7555,7557,7575,7577,7755,7757,7775,7777,55555,

%U 55557,55575,55577,55755,55757,55775,55777,57555,57557,57575,57577,57755,57757

%N Numbers n with digits 5 and 7 only.

%H Michael S. Branicky, <a href="/A284380/b284380.txt">Table of n, a(n) for n = 1..10000</a>

%t Join @@ ((FromDigits /@ Tuples[{5, 7}, #]) & /@ Range@ 5) (* _Giovanni Resta_, Mar 28 2017 *)

%o (Magma) [n: n in [1..100000] | Set(IntegerToSequence(n, 10)) subset {5, 7}]

%o (Python)

%o from sympy.utilities.iterables import multiset_permutations

%o def aupton(terms):

%o n, digits, alst = 0, 1, []

%o while len(alst) < terms:

%o mpstr = "".join(d*digits for d in "57")

%o for mp in multiset_permutations(mpstr, digits):

%o alst.append(int("".join(mp)))

%o if len(alst) == terms: break

%o else: digits += 1

%o return alst

%o print(aupton(44)) # _Michael S. Branicky_, May 07 2021

%Y Prime terms are in A020467.

%Y Numbers n with digits 5 and k only for k = 0 - 4 and 6 - 9: A169964 (k = 0), A276037 (k = 1), A072961 (k = 2), A284379 (k = 3), A256290 (k = 4), A256291 (k = 6), this sequence (k = 7), A284381 (k = 8), A284382 (k = 9).

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Mar 28 2017

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Last modified August 24 09:00 EDT 2024. Contains 375409 sequences. (Running on oeis4.)