A304025 a(n) is the largest integer that can be written with n digits in base 3/2.
2, 5, 8, 14, 23, 35, 53, 80, 122, 185, 278, 419, 629, 944, 1418, 2129, 3194, 4793, 7190, 10787, 16181, 24272, 36410, 54617, 81926, 122891, 184337, 276506, 414761, 622142, 933215, 1399823, 2099735, 3149603, 4724405, 7086608, 10629914
Offset: 1
Examples
The number 5 in base 3/2 is 22, and the number 6 is 210. Therefore, 5 is the largest integer needing two digits in base 3/2.
Links
- B. Chen, R. Chen, J. Guo, S. Lee et al., On Base 3/2 and its Sequences, arXiv:1808.04304 [math.NT], 2018.
Programs
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PARI
first(n) = {my(res = vector(n)); res[1] = 2; for(i = 2, n, res[i] = 3 * res[i-1] / 2 + if(res[i-1] % 2==0, 2, 1/2));res} \\ David A. Corneth, May 11 2018
Formula
a(n) = A070885(n+1) - 1.
Comments