A119061
Triangular numbers composed of digits {0,3,5}.
Original entry on oeis.org
3, 55, 300, 3003, 5050, 500500, 50005000, 5000050000, 33050333550, 500000500000, 3505500530535, 50000005000000, 53555035005300, 355300503533550, 5000000050000000, 50035505550330300, 300555503500333305, 500000000500000000, 50000000005000000000
Offset: 1
A119063
Triangular numbers composed of digits {0,3,6}.
Original entry on oeis.org
3, 6, 36, 66, 300, 630, 666, 3003, 66066, 333336, 600060, 630003, 3306306, 30330366, 330360660, 6603360660, 63630666636636, 633663606306030, 63033033630030366, 66000033300360030336, 33363363630036306006003, 363003633036606030300000, 663300330303660363306006
Offset: 1
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Select[FromDigits/@Tuples[{0,3,6},12],OddQ[Sqrt[8#+1]]&]//Rest (* The program generates the first 16 terms of the sequence. *) (* Harvey P. Dale, Jul 14 2025 *)
A119065
Triangular numbers composed of digits {0,3,7}.
Original entry on oeis.org
3, 300, 703, 3003, 300700, 7777333333770, 30770737700703, 7707033303703300, 77300377037737303073770, 3073770307037370707370300003, 33000770070773300000703773730, 770037773370037377077730333003
Offset: 1
A119067
Triangular numbers composed of digits {0,3,8}.
Original entry on oeis.org
3, 300, 3003, 8038803003, 80830838088000, 8330808803003880083880, 3033038080383000888388003003, 8038308338833030088338388883003, 830303888083308003388388830000003
Offset: 1
A119069
Triangular numbers composed of digits {0,3,9}.
Original entry on oeis.org
3, 300, 903, 990, 3003, 33930, 39903, 339900, 930930, 39033030, 990903903, 3909003990, 3993990000, 33003300903, 39999939903, 90993993300, 3390003090090, 99990099000330, 90009933903093903, 399939399933939330, 303300903903330099003, 3309000900300303999300
Offset: 1
A119071
Triangular numbers composed of digits {0,4,5}.
Original entry on oeis.org
45, 55, 4005, 5050, 404550, 405450, 500500, 40405555, 40504500, 50005000, 454044045, 500054500, 4050045000, 4540044405, 5000050000, 405000450000, 455005054540, 500000500000, 40500004500000, 50000005000000, 50450455004040, 540550504445050, 4050000045000000
Offset: 1
A119073
Triangular numbers composed of digits {0,4,6}.
Original entry on oeis.org
6, 66, 406, 666, 66066, 446040, 600060, 46046406, 440466040, 4040600460, 6604444400406, 4440066066400004040, 644006046066000066046, 44464646466606404046664666, 464440406444064040044646006604604066, 660466006640066446666000606004066646, 60404640400640406040004460664400044060
Offset: 1
See
A119033 for a table of cross-references.
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[t: n in [1..2*10^7] | Set(Intseq(t)) subset {0,4,6} where t is n*(n+1) div 2]; // Vincenzo Librandi, Dec 18 2015
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Rest[Select[FromDigits/@Tuples[{0, 4, 6}, 10], IntegerQ[(Sqrt[8 # + 1] - 1)/2] &]] (* Vincenzo Librandi, Dec 18 2015 *)
A119075
Triangular numbers composed of digits {0,4,8}.
Original entry on oeis.org
80080840, 4448084040, 804844884480, 4448404804004804800840804848000, 44804084840840840848040408400000
Offset: 1
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[t: n in [1..2*10^7] | Set(Intseq(t)) subset {0, 4, 8} where t is n*(n+1) div 2]; // Vincenzo Librandi, Dec 18 2015
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Rest[Select[FromDigits/@Tuples[{0, 4, 8}, 12], IntegerQ[(Sqrt[8 # + 1] - 1)/2] &]] (* Vincenzo Librandi, Dec 18 2015 *)
A119077
Triangular numbers composed of digits {0,4,9}.
Original entry on oeis.org
990, 4009490400090, 990440044904409490, 9900404040400404004090
Offset: 1
A119079
Triangular numbers composed of digits {0,5,6}.
Original entry on oeis.org
6, 55, 66, 666, 5050, 5565, 6555, 66066, 500500, 600060, 605550, 5656566, 50005000, 60505500, 5000050000, 6050055000, 500000500000, 605000550000, 50000005000000, 60500005500000, 66605656050060, 550006056055665, 555665666566566, 5000000050000000
Offset: 1
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Rest[Select[FromDigits/@Tuples[{0,5,6},15],IntegerQ[(Sqrt[8#+1]-1)/2]&]] (* Harvey P. Dale, Nov 19 2013 *)
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