AbstractA new family of increasing sequences of positive integers is proposed. The integers n for which the sum of binary digits is equal to the sum of binary digits of n2 are an example of sequence of this family and this sequence is more accurately studied. Some structure and asymptotic properties are proved and a conjecture about its counting function is discussed
AbstractWe count binary strings where the possible numbers of successive 0's and 1's are restricted
AbstractWe show that the maximum size of a B2-sequence of binary n-vectors for large enough n is at ...
AbstractWe give explicit asymptotic expressions for the number of “level number sequences” (l.n.s.) ...
AbstractA new family of increasing sequences of positive integers is proposed. The integers n for wh...
The binary sum-of-digits function $\mathsf{s}$ returns the number of ones in the binary expansion of...
AbstractWe study a redundant binary number system that was recently introduced by Székely and Wang. ...
A $k$-representation of an integer $\l$ is a representation of $\l$ as sum of $k$ powers of $2$, whe...
AbstractLet Bs(n) denote the set of binary words of length n whose longest series have the length s....
The article of record as published may be found at http://dx.doi.org/10.1016/j.jnt.2009.04.003Let g ...
The authors would like to thank Lukas Spiegelhofer for discussions and a very useful C-program.Let s...
AbstractLet b⩾2 be a fixed positive integer and let S(n) be a certain type of binomial sum. In this ...
Let n, b and c be positive integers with b ⩽ c and let A = aiini = 0n be a sequence of integers such...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
AbstractWe study a redundant binary number system that was recently introduced by Székely and Wang. ...
Many digital functions studied in the literature, e.g., the summatory function of the base-k sum-of-...
AbstractWe count binary strings where the possible numbers of successive 0's and 1's are restricted
AbstractWe show that the maximum size of a B2-sequence of binary n-vectors for large enough n is at ...
AbstractWe give explicit asymptotic expressions for the number of “level number sequences” (l.n.s.) ...
AbstractA new family of increasing sequences of positive integers is proposed. The integers n for wh...
The binary sum-of-digits function $\mathsf{s}$ returns the number of ones in the binary expansion of...
AbstractWe study a redundant binary number system that was recently introduced by Székely and Wang. ...
A $k$-representation of an integer $\l$ is a representation of $\l$ as sum of $k$ powers of $2$, whe...
AbstractLet Bs(n) denote the set of binary words of length n whose longest series have the length s....
The article of record as published may be found at http://dx.doi.org/10.1016/j.jnt.2009.04.003Let g ...
The authors would like to thank Lukas Spiegelhofer for discussions and a very useful C-program.Let s...
AbstractLet b⩾2 be a fixed positive integer and let S(n) be a certain type of binomial sum. In this ...
Let n, b and c be positive integers with b ⩽ c and let A = aiini = 0n be a sequence of integers such...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
AbstractWe study a redundant binary number system that was recently introduced by Székely and Wang. ...
Many digital functions studied in the literature, e.g., the summatory function of the base-k sum-of-...
AbstractWe count binary strings where the possible numbers of successive 0's and 1's are restricted
AbstractWe show that the maximum size of a B2-sequence of binary n-vectors for large enough n is at ...
AbstractWe give explicit asymptotic expressions for the number of “level number sequences” (l.n.s.) ...
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