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Results tagged with polynomials
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user 40145
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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A product of polynomials
Let $f(n)=1+x^n+x^{2n}+...+x^{n^2}.$
Let $p(x)$ be $1+x+x^2+x^5+x^7+...$ where the exponents are the pentagonal numbers.
Let $a(n)$ be the sequence of integers such that the coefficients of the seri …
- 2,143
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A product of polynomials
I asked George Andrews about this problem and this was part of his reply:
"Define $g_1(n)=2n-1$
and $g_m(n)=g_{m-1}(n)(g_{m-1}(n)+1)$
Thus
$g_1(n):1,3,5,7,9,11,13,15,...$
$g_2(n):2,12,30,56,90,132 …
- 2,143