OFFSET
1,1
COMMENTS
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.
The second assertion above is wrong. Out of the first 100,000 triangular numbers, only 26,046 have a sum of their digits equal to a triangular number. - Harvey P. Dale, Jun 07 2017
MATHEMATICA
Select[Accumulate[Range[1000]], Total[IntegerDigits[#]]==10&] (* Harvey P. Dale, Jun 07 2017 *)
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Amarnath Murthy, Feb 21 2002
EXTENSIONS
More terms from Sascha Kurz, Mar 06 2002
Offset changed by Andrew Howroyd, Sep 17 2024
STATUS
approved