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- W2080480524 abstract "Abstract Let ${U_n}$ be given by $U_0=1$ and $U_n=-2sum _{k=1}^{[n/2]} binom n{2k}U_{n-2k} (nge 1)$ , where $[cdot ]$ is the greatest integer function. Then ${U_n}$ is analogous to the Euler numbers and $U_{2n}=3^{2n}E_{2n}(frac 13)$ , where $E_m(x)$ is the Euler polynomial. In a previous paper we gave many properties of ${U_n}$ . In this paper we present a summation formula and several congruences involving ${U_n}$ ." @default.
- W2080480524 created "2016-06-24" @default.
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- W2080480524 date "2012-06-12" @default.
- W2080480524 modified "2023-09-22" @default.
- W2080480524 title "SOME PROPERTIES OF A SEQUENCE ANALOGOUS TO EULER NUMBERS" @default.
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- W2080480524 doi "https://doi.org/10.1017/s0004972712000433" @default.
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