... 1994
ABSTRACT
Twenty-one years after the publication of A Handbook of Integer Sequences, a greatly
expanded version of this collection can now be accessed by electronic mail.
1. The on- line version
A Handbook ... Robinson, Jeffrey Shallit and Robert Wilson for their contribu-
tions, as well as the late Victor Meally, John Riordan and Herman Robinson. Mira Bernstein
helped process the most re...
... 459–467.
[6] E. Szemer´edi, On sets of integers containing no k elements in arithmetic pro-
gression, Acta Arithmetika 27, 199–245.
Note on Gy. Elekes’s conjectures concerning
unavoidable patterns ... Classification numbers: 05C15, 05C55, 05C38
Abstract
A counterexample is presented to Gy. Elekes’s conjecture concerning the
existence of long 2-colored paths in properly colored graphs. A mo...
... one can obviously place at most m nonattacking queens and for 4 ≤ m<n,one
can just take a solution on the m × m board and extend the board. Moreover, the reader
will easily find solutions on ... reader will readily find
that there is no solution on the 6 × 3 board, but there are solutions on the 9 × 3 board.
It follows that there are solutions on the n × m board for all m<nwith...