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Constant sequences

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Constant sequences are sequences for which all terms are the same. Formally, sequences such that

The all 1's sequence (A000012) is an example of a constant sequence. Others include A000004, A007395, A010692, A010701, A010709, A010716, A010722, A010727, A010731, A010734, A010850, A010851, A010852, A010853, A010854, A010855, A010856, A010857, A010858, A010859, A010860, A010861, A010862, A010863, A010864, A010865, A010866, A010867, A010868, A010869, A010870, and A010871.

In a sequence with members drawn from any partially ordered set, constant sequences are precisely those which are both nondecreasing and nonincreasing. (In fact, this holds in any preordered set.)