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A290318 Triangle read by rows. Row n gives the denominators of the coefficients of the Bernoulli polynomials of the second kind (in rising powers). 2

%I #9 Dec 16 2017 15:29:58

%S 1,2,1,6,1,1,4,1,2,1,30,1,1,1,1,4,1,1,3,2,1,84,1,1,1,2,1,1,24,1,1,3,4,

%T 1,2,1,90,1,1,1,1,1,3,1,1,20,1,1,1,1,5,1,1,2,1,132,1,1,1,1,1,1,1,2,1,1

%N Triangle read by rows. Row n gives the denominators of the coefficients of the Bernoulli polynomials of the second kind (in rising powers).

%C The numerators appear in A290317, where more information is found.

%C The LCM of row n seems to be A002790(n).

%C The first column is given by A006233.

%e The triangle T(n, k) begins:

%e n\k 0 1 2 3 4 5 6 7 8 9 10 ...

%e 0: 1

%e 1: 2 1

%e 2: 6 1 1

%e 3: 4 1 2 1

%e 4: 30 1 1 1 1

%e 5: 4 1 1 3 2 1

%e 6: 84 1 1 1 2 1 1

%e 7: 24 1 1 3 4 1 2 1

%e 8: 90 1 1 1 1 1 3 1 1

%e 9: 20 1 1 1 1 5 1 1 2 1

%e 10: 132 1 1 1 1 1 1 1 2 1 1

%e ...

%e For the first rows of the rational triangle r(n, m) see A290317.

%Y Cf. A002790, A006233, A290317 (numerators).

%K nonn,easy,frac,tabl

%O 0,2

%A _Wolfdieter Lang_, Aug 06 2017

%E Definition corrected by _Eric M. Schmidt_, Dec 16 2017

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)