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A068130 Triangular numbers with sum of digits = 15. +0
4
78, 276, 465, 528, 780, 861, 1176, 1275, 1653, 1770, 2346, 2850, 3570, 3741, 4371, 4560, 5253, 5460, 6216, 6441, 7260, 7503, 11175, 12246, 12561, 14028, 15225, 17205, 20706, 22155, 24090, 24531, 26106, 28203, 30381, 32640, 33153, 35511 (list; graph; listen)
OFFSET

1,1

COMMENT

1. The sequence is unbounded, as the (2*10^k +3)-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, A068129.

Sequence in context: A119146 A044410 A044791 this_sequence A118938 A007255 A003913

Adjacent sequences: A068127 A068128 A068129 this_sequence A068131 A068132 A068133

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 November 21 14:49 EST 2008. Contains 150807 sequences.


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