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A068133 First triangular number with digit sum = n-th triangular number. +0
2
1, 3, 6, 28, 78, 1596, 5995, 67896, 887778, 15997996, 398988876, 9876799878, 299789989975, 35998897988976, 589598998999878, 78999997699698778, 7987899888859999878 (list; graph; listen)
OFFSET

0,2

COMMENT

The sum of the digits of triangular numbers in most cases is a triangular number. Conjecture: For every triangular number T there exist infinitely many triangular numbers with sum of digits = T.

CROSSREFS

Cf. A068127, A068128, A068129, A068130, A068131, A068132, A068133.

Sequence in context: A102428 A128056 A068808 this_sequence A024497 A007228 A096155

Adjacent sequences: A068130 A068131 A068132 this_sequence A068134 A068135 A068136

KEYWORD

base,more,nonn

AUTHOR

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

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jun 17 2002

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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