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A285740 Denominator of discriminant of n-th Bernoulli polynomial. 1
1, 3, 16, 3375, 559872, 1815156, 80621568, 124556484375, 80000000000000, 11881340006899968, 1218719480020992, 3405780508865246682482292626953125, 1526226812966134209666905971200000000000000000, 18160335421875000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..14.

Eric Weisstein's World of Mathematics, Bernoulli Polynomial

Index entries for sequences related sequences related to discriminants of polynomials

EXAMPLE

1, 1/3, 1/16, 28/3375, 343/559872, 31/1815156, 29791/80621568, 178035712/124556484375, 11651995228221/80000000000000, ...

The first few Bernoulli polynomials are

0 | 1;

1 | x - 1/2;

2 | x^2 - x + 1/6;

3 | x^3 - 3*x^2/2 + x/2;

4 | x^4 - 2*x^3 + x^2 - 1/30;

5 | x^5 - 5*x^4/2 + 5*x^3/3 - x/6, etc.

MATHEMATICA

Table[Denominator[Discriminant[BernoulliB[n, x], x]], {n, 1, 14}]

CROSSREFS

Cf. A053382, A053383, A196838, A196839, A285739 (numerators).

Sequence in context: A096404 A111824 A140519 * A174506 A109216 A090478

Adjacent sequences:  A285737 A285738 A285739 * A285741 A285742 A285743

KEYWORD

nonn,frac

AUTHOR

Ilya Gutkovskiy, Apr 25 2017

STATUS

approved

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Last modified April 20 03:09 EDT 2019. Contains 322294 sequences. (Running on oeis4.)