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A117834 Triangular numbers with consecutive digits. 0

%I #7 Oct 09 2023 03:21:01

%S 0,1,3,6,10,21,45,78,210

%N Triangular numbers with consecutive digits.

%C Digits can be in ascending or descending order. After 9 comes 0.

%C Next term, if there is one, has more than 300 digits. - _Joshua Zucker_, May 11 2006

%C Terms correspond to (some) integral points on a finite number of Mordell curves. Thus there is only a finite number of terms. It is likely that no other terms besides those listed exist. - _Max Alekseyev_, Oct 08 2023

%Y Cf. A000217.

%K base,fini,more,nonn

%O 1,3

%A Luc Stevens (lms022(AT)yahoo.com), Apr 30 2006

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Last modified March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)