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Search: id:A093142
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| A093142 |
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Expansion of (1-5x)/((1-x)(1-10x)). |
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+0
2
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| 1, 6, 56, 556, 5556, 55556, 555556, 5555556, 55555556, 555555556, 5555555556, 55555555556, 555555555556, 5555555555556, 55555555555556, 555555555555556, 5555555555555556, 55555555555555556, 555555555555555556
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OFFSET
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0,2
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COMMENT
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Second binomial transform of 5*A001045(3n)/3+(-1)^n. Partial sums of A093143. 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=5.
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FORMULA
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a(n)=5*10^n/9 + 4/9
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CROSSREFS
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Adjacent sequences: A093139 A093140 A093141 this_sequence A093143 A093144 A093145
Sequence in context: A074019 A074018 A074016 this_sequence A092655 A099140 A048348
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 24 2004
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