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Some Arithmetic Properties of a Special Sequence of Integers

Published online by Cambridge University Press:  20 November 2018

L. Carlitz
L. Carlitz*
Affiliation:
Department of Mathematics, Duke UniversityDurham, North carolina 27706, U.S.A.
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Leeming [3] has defined a sequence of polynomials {Q4n(x)} and a sequence of integers {Q4n} by means of

1.1

and

1.2

Thus

1.3

and equivalently

1.4

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 425 - 429
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Carlitz, L., Kummer’s congruences (mod 2r), Monatshefte für Mathematik 63 (1959), 394–400.Google Scholar
2. Frobenius, F. G., Uber die Bernoullischen Zahlen und die Eulerschen Polynome, Gesammelte Abhandlungen III, 440–478, Springer, Berlin-Heidelberg-New York, 1968.Google Scholar
3. Leeming, D. J., Some properties of a certain set of interpolation polynomials, Canadian Mathematical Bulletin 18 (1975), 529–537.Google Scholar
4. Nielsen, N., Traité élémentaire des nombres de Bernoulli, Gauthier-Villars, Paris, 1923.Google Scholar
5. Nörlund, N. E., Vorlesungen über Differenzenrechnung, Springer, Berlin, 1924.Google Scholar