Unpublished Message By Gov. Lucas

Unpublished Manuscript

We here review the evolutionary theory relevant to the question of human cooperation and compare the results to other theoretical perspectives. Then, we will summarize some of our own work, distilling a compound explanation that we believe gives a plausible account of human cooperation and selfishness. This account leans heavily on group selection on cultural variation but also includes lower l...

SOCIETY FOR CREATIVE ANACHRONISM, (Gov)

Application pending City or town, state or country, and ZIP + 4 Amended return Termination Room/suite Number and street (or P.O. box if mail is not delivered to street address) Initial return Name change Address change Name of organization The organization may have to use a copy of this return to satisfy state reporting requirements. Internal Revenue Service Department of the Treasury OMB No. 1...

Lucas-sierpiński and Lucas-riesel Numbers

In this paper, we show that there are infinitely many Sierpiński numbers in the sequence of Lucas numbers. We also show that there are infinitely many Riesel numbers in the sequence of Lucas numbers. Finally, we show that there are infinitely many Lucas numbers that are not a sum of two prime powers.

Divisibility by Fibonacci and Lucas Squares

Fibonacci and Lucas Sums by Matrix Methods

The Fibonacci sequence {Fn} is defined by the recurrence relation Fn = Fn−1+ Fn−2, for n ≥ 2 with F0 = 0 and F1 = 1. The Lucas sequence {Ln} , considered as a companion to Fibonacci sequence, is defined recursively by Ln = Ln−1 + Ln−2, for n ≥ 2 with L0 = 2 and L1 = 1. It is well known that F−n = (−1)Fn and L−n = (−1)Ln, for every n ∈ Z. For more detailed information see [9],[10]. This paper pr...