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A093140 Expansion of (1-6x)/((1-x)(1-10x)). 1
1, 5, 45, 445, 4445, 44445, 444445, 4444445, 44444445, 444444445, 4444444445, 44444444445, 444444444445, 4444444444445, 44444444444445, 444444444444445, 4444444444444445, 44444444444444445, 444444444444444445 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Second binomial transform of 4*A001045(3n)/3+(-1)^n. Partial sums of A093141. A convex combination of 10^n and 1. In general the second binomial transform of k*Jacobsthal(3n)/3+(-1)^n is 1, 1+k, 1+11k, 1+111k, ... This is the case for k=4.

LINKS

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (11,-10)

FORMULA

a(n) = 4*10^n/9 + 5/9.

a(n+1) = (A102807(n+1)-A002477(n))/((Sum_{i=1..n} 2*10^i) + 3). [Roger L. Bagula, May 22 2010]

a(n) = 10*a(n-1)-5 with a(0)=1. - Vincenzo Librandi, Aug 02 2010

CROSSREFS

Sequence in context: A165225 A121272 A054318 * A137233 A001449 A209442

Adjacent sequences:  A093137 A093138 A093139 * A093141 A093142 A093143

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 24 2004

STATUS

approved

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Last modified May 25 21:46 EDT 2020. Contains 334597 sequences. (Running on oeis4.)