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A072956
Turban numbers: without letters r, t, or u.
6
1, 5, 6, 7, 9, 11, 1000000, 1000001, 1000005, 1000006, 1000007, 1000009, 1000011, 5000000, 5000001, 5000005, 5000006, 5000007, 5000009, 5000011, 6000000, 6000001, 6000005, 6000006, 6000007, 6000009, 6000011, 7000000, 7000001, 7000005, 7000006, 7000007, 7000009
OFFSET
1,2
REFERENCES
M. J. Halm, Sequences (Re)discovered, Mpossibilities 81 (Aug. 2002).
LINKS
PROG
(PARI) is(n)=!setintersect(Set(Vec(English(n))), ["r", "t", "u"]) \\ See A052360 for English(). - M. F. Hasler, Apr 01 2019
(Python)
from num2words import num2words
from itertools import islice, product
def ok(n): return set(num2words(n)) & {"r", "t", "u"} == set()
def agen(): # generator of terms < 10**304
base, pows = [k for k in range(1, 1000) if ok(k)], [1]
yield from ([0] if ok(0) else []) + base
for e in range(3, 304, 3):
if set(num2words(10**e)[4:]) & {"r", "t", "u"} == set():
pows = [10**e] + pows
for t in product([0] + base, repeat=len(pows)):
if t[0] == 0: continue
yield sum(t[i]*pows[i] for i in range(len(t)))
print(list(islice(agen(), 66))) # Michael S. Branicky, Aug 19 2022
CROSSREFS
Cf. A006933 (eban numbers: without 'e'), A008521 (without 'o'), A008523 (without 't'), A008537 (without 'n'), A089590 (without 'u'), A072957 (urban numbers: without r or u), A089589 (without 'i').
Sequence in context: A180939 A229231 A073419 * A241203 A279001 A080708
KEYWORD
easy,nonn,word
AUTHOR
Michael Joseph Halm, Aug 13 2002
STATUS
approved