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A103878 Expansion of x / ((1-12x)(1-15x)(1-20x)(1-30x)(1-60x)). 3

%I

%S 0,1,137,12019,874853,58067611,3673451957,226576032859,13790081534933,

%T 833490615528571,50196582942983477,3017503478665411099,

%U 181223386494229073813,10878637590184410995131,652876078076017863582197,39177315318319288337595739

%N Expansion of x / ((1-12x)(1-15x)(1-20x)(1-30x)(1-60x)).

%H Colin Barker, <a href="/A103878/b103878.txt">Table of n, a(n) for n = 0..562</a>

%H Jerry Metzger and Thomas Richards, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Metzger/metz1.html">A Prisoner Problem Variation</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.2.7.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (137,-6750,153000,-1620000,6480000).

%F a(n) = (1/12) (12^n - 4*15^n + 6*20^n - 4*30^n + 60^n).

%o (PARI) concat(0, Vec(x/(-6480000*x^5+1620000*x^4-153000*x^3+6750*x^2-137*x+1) + O(x^100))) \\ _Colin Barker_, Apr 26 2015

%Y Cf. A001242.

%K nonn,easy

%O 0,3

%A _Ralf Stephan_, Feb 20 2005

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Last modified August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)