cp's OEIS Frontend

A093138 Expansion of (1-7x)/(1-10x).

%I A093138 #39 Aug 14 2024 15:36:03
%S A093138 1,3,30,300,3000,30000,300000,3000000,30000000,300000000,3000000000,
%T A093138 30000000000,300000000000,3000000000000,30000000000000,
%U A093138 300000000000000,3000000000000000,30000000000000000,300000000000000000,3000000000000000000,30000000000000000000,300000000000000000000
%N A093138 Expansion of (1-7x)/(1-10x).
%C A093138 Partial sums are A093137. A convex combination of 10^n and 0^n.
%H A093138 M. H. Cilasun, <a href="http://arxiv.org/abs/1412.3265">An Analytical Approach to Exponent-Restricted Multiple Counting Sequences</a>, arXiv preprint arXiv:1412.3265 [math.NT], 2014.
%H A093138 M. H. Cilasun, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL19/Cilasun/cila5.html">Generalized Multiple Counting Jacobsthal Sequences of Fermat Pseudoprimes</a>, Journal of Integer Sequences, Vol. 19, 2016, #16.2.3.
%H A093138 Milan Janjic, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Janjic/janjic63.html">On Linear Recurrence Equations Arising from Compositions of Positive Integers</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.7.
%H A093138 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (10).
%F A093138 a(n) = 3*10^n/10 + 7*0^n/10.
%F A093138 a(n) = 3*10^(n-1) with a(0)=1. - _Vincenzo Librandi_, Aug 02 2010
%F A093138 E.g.f.: (3*exp(10*x) + 7)/10. - _Elmo R. Oliveira_, Aug 13 2024
%o A093138 (PARI) Vec((1-7*x)/(1-10*x) + O(x^30)) \\ _Michel Marcus_, Sep 07 2015
%Y A093138 Cf. A093137.
%K A093138 nonn,easy
%O A093138 0,2
%A A093138 _Paul Barry_, Mar 24 2004