query: Sequential sums $1+2+\cdots+N$ that are squares
positive_passages.docid: 20548
positive_passages.text: General formula to obtain triangular-square numbers
negative_passages.docid: 153594
negative_passages.text: When is $1^5 + 2^5 + \ldots + n^5$ a square?
negative_passages.docid: 142303
negative_passages.text: Alternating sum of binomial coefficients multiplied by (1/k+1)
negative_passages.docid: 129755
negative_passages.text: Weighted sum of squares, in a finite field
negative_passages.docid: 22840
negative_passages.text: The sum of the first $n$ squares is a square: a system of two Pell-type-equations
negative_passages.docid: 17638
negative_passages.text: Sum with binomial coefficients: $\sum_{k=0}^{n}{2n\choose 2k}$
negative_passages.docid: 67899
negative_passages.text: Integer squares of the form $x^4+x^3+x^2+x+1$
negative_passages.docid: 87479
negative_passages.text: Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
negative_passages.docid: 114863
negative_passages.text: Representing a given number as the sum of two squares.
negative_passages.docid: 57986
negative_passages.text: Sum of products of combinatorials
negative_passages.docid: 111298
negative_passages.text: Direct Proof that $1 + 3 + 5 + \cdots+ (2n - 1) = n\cdot n$
negative_passages.docid: 15403
negative_passages.text: Sum of square of function
negative_passages.docid: 138081
negative_passages.text: How to determine whether a number can be written as a sum of two squares?
negative_passages.docid: 129536
negative_passages.text: Asymptotic behaviour of sums of consecutive powers
negative_passages.docid: 113891
negative_passages.text: The limit of a sum of the form $a_0 \sqrt n + a_1 \sqrt {n + 1} +\cdots + a_k \sqrt {n + k}$
negative_passages.docid: 41789
negative_passages.text: Fermat's theorem on sums of two squares
negative_passages.docid: 105237
negative_passages.text: Alternating sum of binomial coefficients identity