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A321542
a(0)=1; thereafter a(n) = 3*a(n-1) with digits rearranged into nondecreasing order.
15
1, 3, 9, 27, 18, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135, 45, 135
OFFSET
0,2
COMMENTS
For n >= 5, alternates between 45 and 135.
FORMULA
G.f.: (-117*x^6 - 18*x^5 - 9*x^4 - 24*x^3 - 8*x^2 - 3*x - 1)/(x^2 - 1). - Chai Wah Wu, Nov 20 2018
MATHEMATICA
A321542list[nmax_]:=PadRight[{1, 3, 9, 27, 18}, nmax+1, {135, 45}]; A321542list[100] (* Paolo Xausa, Aug 10 2023 *)
CROSSREFS
The following are parallel families: A000079 (2^n), A004094 (2^n reversed), A028909 (2^n sorted up), A028910 (2^n sorted down), A036447 (double and reverse), A057615 (double and sort up), A263451 (double and sort down); A000244 (3^n), A004167 (3^n reversed), A321540 (3^n sorted up), A321539 (3^n sorted down), A163632 (triple and reverse), A321542 (triple and sort up), A321541 (triple and sort down).
Sequence in context: A131997 A122842 A070358 * A321540 A036123 A168427
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Nov 19 2018
STATUS
approved