A093142 - OEIS

A093142

Expansion of g.f. (1-5*x)/((1-x)*(1-10*x)).

1, 6, 56, 556, 5556, 55556, 555556, 5555556, 55555556, 555555556, 5555555556, 55555555556, 555555555556, 5555555555556, 55555555555556, 555555555555556, 5555555555555556, 55555555555555556, 555555555555555556, 5555555555555555556, 55555555555555555556, 555555555555555555556

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OFFSET

0,2

COMMENTS

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.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

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

FORMULA