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A068129 Triangular numbers with sum of digits = 10. +0
6
28, 55, 91, 136, 190, 253, 325, 406, 703, 820, 1081, 1225, 1540, 1711, 2080, 2701, 3160, 3403, 5050, 7021, 10153, 11026, 12403, 15400, 17020, 20503, 21115, 23005, 24310, 32131, 41041, 51040, 52003, 60031, 72010, 80200, 90100, 106030, 110215 (list; graph; listen)
OFFSET

0,1

COMMENT

1. The sequence is unbounded, as the (2*10^k +2)-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.

CROSSREFS

Cf. A068127, A068128.

Sequence in context: A044461 A056028 A120372 this_sequence A079731 A119168 A040756

Adjacent sequences: A068126 A068127 A068128 this_sequence A068130 A068131 A068132

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 21 2002

EXTENSIONS

More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 06 2002

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Last modified December 4 08:07 EST 2009. Contains 170310 sequences.


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