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Alternatively, it can be defined as the unique quadrature formula on n points that is exact for polynomials of degree < 2 n.. Gegenbauer polynomials are the same as

Coefficients of the characteristic polynomial of matrices of the third kind are connected with a special kind of composition of natural numbers, in which there are two different

This sequence is known as sequence A056542 in Sloane’s Online Encyclopedia of Integer Sequences [12]..

Sloane, The On-Line Encyclopedia of Integer Sequences , available electronically at http://www.research.att.com/~njas/sequences/ , 2010... S lota, New Ramanujan-type formulas

We study the Euler-Seidel matrix of certain integer sequences, using the binomial transform and Hankel matrices.. For moment sequences, we give an integral repre- sentation of

Keywords: Integer sequence, linear recurrence, Riordan arrays, continued fraction, Hankel transform, Somos sequence... Published in Journal of Integer Sequences , July

After establishing relations between bipar- titional polynomials and polynomial sequences of binomial and trinomial type, a number of identities are

As is known [11], if there exists the operator (I + KS − 1 ) − 1 mapping L2,ρ onto itself, and as the collocation nodes are taken the roots of the Chebyshev polynomials of the