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A068591 Nonessential triangular numbers (conjectured). 0
8, 11, 16, 17, 23, 24, 29, 31, 36, 38, 41, 43, 45, 49, 50, 59, 60, 61, 62, 65 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Whether these numbers are actually nonessential is not proved. I merely have numerical evidence at this point.

LINKS

Ed Pegg Jr, Triangular sums

EXAMPLE

Any number is the sum of three triangular numbers (Gauss). The 8th triangular number (36) seems nonessential for these sums. After eliminating 8, the eleventh triangular number seems to be nonessential.

CROSSREFS

Sequence in context: A032423 A063724 A154685 * A065348 A155717 A188197

Adjacent sequences:  A068588 A068589 A068590 * A068592 A068593 A068594

KEYWORD

more,nonn

AUTHOR

Ed Pegg Jr (ed(AT)mathpuzzle.com), Mar 30 2002

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Last modified February 16 07:34 EST 2012. Contains 205875 sequences.