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Search: id:A068131
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| A068131 |
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Triangular numbers with sum of digits = 21. |
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+0
3
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| 1596, 2775, 3486, 3828, 4278, 4656, 5565, 6555, 7626, 8256, 9453, 14196, 15753, 16653, 17391, 18336, 21945, 22791, 23871, 24753, 28920, 32385, 34716, 37128, 38226, 39621, 40755, 42195, 43365, 44850, 46056, 51681, 54615, 56280, 57630
(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 (5*10^k +6)-th triangular number 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.
Sequence in context: A029561 A015281 A132654 this_sequence A068263 A147316 A078954
Adjacent sequences: A068128 A068129 A068130 this_sequence A068132 A068133 A068134
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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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