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A119040
Numbers k such that the k-th triangular number contains only digits {0,1,5}.
2
1, 4, 5, 10, 14, 100, 101, 141, 173, 458, 1000, 1001, 1005, 1010, 4475, 10000, 10001, 10005, 10010, 10100, 10110, 10114, 14869, 45858, 54873, 100000, 100001, 100005, 100010, 100100, 100101, 101000, 101005, 1000000, 1000001, 1000005, 1000010
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OFFSET
1,2
LINKS
Table of n, a(n) for n=1..37.
G. Resta,
Tridigital Triangular Numbers
MATHEMATICA
Select[Range[2 10^6], Complement[IntegerDigits[Binomial[# + 1, 2]], {0, 1, 5}] == {} &] (*
Vincenzo Librandi
, Dec 25 2015 *)
PROG
(Magma) [n: n in [1..2*10^6] | Set(Intseq(Binomial(n+1, 2))) subset [0, 1, 5]]; //
Vincenzo Librandi
, Dec 25 2015
CROSSREFS
Cf.
A000217
,
A119039
. See
A119034
for a table of cross-references.
Sequence in context:
A073119
A002257
A101528
*
A287578
A135104
A131780
Adjacent sequences:
A119037
A119038
A119039
*
A119041
A119042
A119043
KEYWORD
nonn
,
base
AUTHOR
Giovanni Resta
, May 10 2006
STATUS
approved