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A072955 Suburban numbers: without b, r, s or u. 1

%I #8 Aug 19 2022 13:52:28

%S 1,2,5,8,9,10,11,12,15,18,19,20,21,22,25,28,29,50,51,52,55,58,59,80,

%T 81,82,85,88,89,90,91,92,95,98,99,1000000,1000001,1000002,1000005,

%U 1000008,1000009,1000010,1000011,1000012,1000015,1000018,1000019,1000020

%N Suburban numbers: without b, r, s or u.

%D M. J. Halm, Sequences (Re)discovered, Mpossibilities 81 (Aug. 2002).

%H Michael S. Branicky, <a href="/A072955/b072955.txt">Table of n, a(n) for n = 1..10000</a>

%H Michael Halm, <a href="http://michaelhalm.tripod.com/id109.htm">Sequences (Re)discovered</a>.

%o (Python)

%o from num2words import num2words

%o from itertools import islice, product

%o def ok(n): return set(num2words(n)) & {"b", "r", "s", "u"} == set()

%o def agen(): # generator of terms < 10**304

%o base, pows = [k for k in range(1, 1000) if ok(k)], [1]

%o yield from ([0] if ok(0) else []) + base

%o for e in range(3, 304, 3):

%o if set(num2words(10**e)[4:]) & {"b", "r", "s", "u"} == set():

%o pows = [10**e] + pows

%o for t in product([0] + base, repeat=len(pows)):

%o if t[0] == 0: continue

%o yield sum(t[i]*pows[i] for i in range(len(t)))

%o print(list(islice(agen(), 66))) # _Michael S. Branicky_, Aug 19 2022

%Y Cf. A089590, A072956, A072957.

%K easy,nonn,word

%O 1,2

%A _Michael Joseph Halm_, Aug 13 2002

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Last modified April 25 09:56 EDT 2024. Contains 371967 sequences. (Running on oeis4.)