query: Let's consider non-decreasing sequence of integer not negative numbers and $d_1 \geq d_2 \geq \cdots \geq d_n \geq 0$
positive_passages.docid: 19413
positive_passages.text: Degree sequence multigraph without loop
negative_passages.docid: 152845
negative_passages.text: Every integer is the unique sum of a "decreasing" sequence of binomial coefficients
negative_passages.docid: 154796
negative_passages.text: Completeness of sequence of reals with finitely many nonzero terms
negative_passages.docid: 137750
negative_passages.text: Let $(a_n)$ be a strictly increasing sequence of positive integers such that: $a_2 = 2$, $a_{mn} = a_m a_n$ for $m, n$ relatively prime.
negative_passages.docid: 59479
negative_passages.text: For a positive integer $n\geq 2$ with divisors $1=d_1<d_2<\cdots<d_k=n$, prove that $d_1d_2+d_2d_3+\cdots+d_{k-1}d_k<n^2$
negative_passages.docid: 156660
negative_passages.text: The set of all strictly increasing sequences of natural numbers
negative_passages.docid: 23076
negative_passages.text: Proof of limit of quotient sequence property
negative_passages.docid: 79417
negative_passages.text: A "non-trivial" example of a Cauchy sequence that does not converge?
negative_passages.docid: 69867
negative_passages.text: For each $\beta \in(0,1)$, give a sequence $\{a_j\}\subset(0,1)$ with $\prod (1-\alpha_j) = \beta $
negative_passages.docid: 140379
negative_passages.text: Cauchy sequence in a discrete space
negative_passages.docid: 12031
negative_passages.text: Asymptotic behavior of the sequence $a_n=\sqrt{n+a_{n-1}}$
negative_passages.docid: 25583
negative_passages.text: Show that the sequence $a_0 = 1$, $a_{n+1 }= \sqrt{2+a_n}$ is monotonically increasing
negative_passages.docid: 41571
negative_passages.text: Prove that in a sequence of numbers $49 , 4489 , 444889 , 44448889\ldots$
negative_passages.docid: 114315
negative_passages.text: The sequence 1/(n-1) is apparently unbounded yet convergent. What am I missing here?
negative_passages.docid: 53363
negative_passages.text: Ultralimit of an eventually constant generalized sequence
negative_passages.docid: 71967
negative_passages.text: cardinality of the set of $ \varphi: \mathbb N \to \mathbb N$ such that $\varphi$ is an increasing sequence
negative_passages.docid: 29266
negative_passages.text: Limit of a sequence defined by recursive relation : $ a_n = \sqrt{a_{n-1}a_{n-2}}$