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

1, 3, 30, 300, 3000, 30000, 300000, 3000000, 30000000, 300000000, 3000000000, 30000000000, 300000000000, 3000000000000, 30000000000000, 300000000000000, 3000000000000000, 30000000000000000, 300000000000000000, 3000000000000000000, 30000000000000000000, 300000000000000000000

Offset

0,2

Comments

Partial sums are A093137. A convex combination of 10^n and 0^n.

Links

Table of n, a(n) for n=0..21.

M. H. Cilasun, An Analytical Approach to Exponent-Restricted Multiple Counting Sequences, arXiv preprint arXiv:1412.3265 [math.NT], 2014.

M. H. Cilasun, Generalized Multiple Counting Jacobsthal Sequences of Fermat Pseudoprimes, Journal of Integer Sequences, Vol. 19, 2016, #16.2.3.

Milan Janjic, On Linear Recurrence Equations Arising from Compositions of Positive Integers, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.7.

Index entries for linear recurrences with constant coefficients, signature (10).

Formula

a(n) = 3*10^n/10 + 7*0^n/10.

a(n) = 3*10^(n-1) with a(0)=1. - Vincenzo Librandi, Aug 02 2010

E.g.f.: (3*exp(10*x) + 7)/10. - Elmo R. Oliveira, Aug 13 2024

Prog

(PARI) Vec((1-7*x)/(1-10*x) + O(x^30)) \\ Michel Marcus, Sep 07 2015

Crossrefs

Cf. A093137.

Sequence in context: A136935 A136942 A136947 * A361896 A073557 A037764

Adjacent sequences: A093135 A093136 A093137 * A093139 A093140 A093141

Keyword

nonn,easy

Author

Paul Barry, Mar 24 2004

Status

approved