cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A062201 Number of compositions of n such that two adjacent parts are not equal modulo 3.

This page as a plain text file.
%I A062201 #4 May 10 2013 12:44:47
%S A062201 1,1,1,3,4,5,13,17,23,54,75,106,224,329,482,942,1436,2163,4004,6255,
%T A062201 9619,17144,27220,42513,73785,118402,187082,318715,514958,820744,
%U A062201 1380185,2239747,3592811,5987313,9742606,15703097,26004453,42385083
%N A062201 Number of compositions of n such that two adjacent parts are not equal modulo 3.
%D A062201 I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, N.Y., 1983,(Problem 2.4.13).
%F A062201 G.f.: -(x^3-x-1)*(x^3-x^2-1)/(x^9-x^8-x^7-2*x^6+x^5+x^4+4*x^3-1). Generally, g.f. for the number of compositions of n such that two adjacent parts are not equal modulo p is 1/(1-Sum_{i=1..p} x^i/(1+x^i-x^p)).
%Y A062201 Cf. A003242, A062200-A062203.
%K A062201 nonn
%O A062201 0,4
%A A062201 _Vladeta Jovovic_, Jun 13 2001