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A117960
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Triangular numbers with only odd digits.
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7
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1, 3, 15, 55, 91, 153, 171, 351, 595, 1711, 1953, 5151, 5995, 9591, 11175, 11935, 15753, 15931, 17391, 17955, 31375, 33153, 35511, 73153, 153735, 171991, 173755, 193131, 193753, 371953, 399171, 513591, 551775, 559153, 571915, 791911, 917335, 939135, 1335795
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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FORMULA
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MAPLE
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b:= proc(n) option remember; local k; for k from
1+`if`(n=1, 0, b(n-1)) while 0=mul(irem(i, 2),
i=convert(k*(k+1)/2, base, 10) ) do od; k
end:
a:= n-> (t-> t*(t+1)/2)(b(n)):
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PROG
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(PARI) apply( {A117960_row(n, t=10^n\9, L=List())=forvec(v=vector(n, i, [0, 4]), is_A000217(n=t+fromdigits(v)*2)&&listput(L, n)); L}, [1..6]) \\ row(n) = terms with n digits. Use concat(%) to flatten. - M. F. Hasler, Nov 23 2021
(Python)
from itertools import islice, count
def A117960(): return filter(lambda n: set(str(n)) <= {'1', '3', '5', '7', '9'}, (m*(m+1)//2 for m in count(0)))
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), May 03 2006
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EXTENSIONS
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STATUS
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approved
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