Journal of Integer Sequences, Vol. 21 (2018), Article 18.1.4 |
Abstract:
Fibonacci, Mersenne, Pell, Jacosthal, Tribonacci, and Padovan numbers all appear as values of fm. We derive their new combinatorial interpretations and the explicit formulas.
(Concerned with sequences
A000129
A000931
A001045
A037027
A054456
A054458
A062110
A073370
A078812
A104578
A104580
A105306
A105422
A110441
A113413
A116412
A116414
A125662
A132964
A154929
A168561
A188137
A207823
A207824.)
Received July 26 2017; revised versions received November 30 2017; December 24 2017; December 25 2017. Published in Journal of Integer Sequences, January 21 2018.