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Search: id:A068132
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| A068132 |
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Triangular numbers with sum of digits = 28. |
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+0
2
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| 5995, 14878, 17578, 24976, 29890, 32896, 36856, 37675, 42778, 47278, 52975, 53956, 54946, 55945, 56953, 57970, 67528, 68635, 69751, 70876, 75466, 76636, 77815, 83845, 85078, 87571, 88831, 91378, 92665, 93961, 95266, 96580, 97903
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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1. The sequence is unbounded, as the (10^k + 9)-th triangular number for k >1 is a term. 2. The sum of the digits of triangular numbers in most cases is a triangular number. 3. Conjecture: For every triangular number T there exist infinitely many triangular numbers with sum of digits = T.
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CROSSREFS
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Cf. A068127, A068128, A068129, A068130, A068131.
Sequence in context: A028546 A055108 A046903 this_sequence A115429 A046395 A143043
Adjacent sequences: A068129 A068130 A068131 this_sequence A068133 A068134 A068135
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 21 2002
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 06 2002
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