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- W2610495168 abstract "We provide some interesting relations involving k-generalized Fibonacci numbers between the set $$F_n^{(k)}$$ of length n binary strings avoiding k of consecutive 0’s and the set of length n strings avoiding $$k+1$$ consecutive 0’s and 1’s with some more restriction on the first and last letter, via a simple bijection. In the special case $$k=2$$ a probably new interpretation of Fibonacci numbers is given. Moreover, we describe in a combinatorial way the relation between the strings of $$F_n^{(k)}$$ with an odd numbers of 1’s and the ones with an even number of 1’s." @default.
- W2610495168 created "2017-05-12" @default.
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- W2610495168 date "2017-01-01" @default.
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- W2610495168 title "Restricted Binary Strings and Generalized Fibonacci Numbers" @default.
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- W2610495168 doi "https://doi.org/10.1007/978-3-319-58631-1_3" @default.
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