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

1,1

Comments

A070885 is the smallest integer that can be written with n digits in base 3/2.

This sequence represented in base 3/2 is A304024.

Links

Table of n, a(n) for n=1..37.

B. Chen, R. Chen, J. Guo, S. Lee et al., On Base 3/2 and its Sequences, arXiv:1808.04304 [math.NT], 2018.

Formula

a(n) = A070885(n+1) - 1.

Example

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.

Prog

(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

Crossrefs

Cf. A005428, A024629, A070885, A073941, A081848, A246435, A303500, A304024, A304272.

Sequence in context: A295392 A023674 A281864 * A264395 A139218 A263235

Adjacent sequences: A304022 A304023 A304024 * A304026 A304027 A304028

Keyword

nonn,base,easy

Author

Tanya Khovanova and PRIMES STEP Senior group, May 04 2018

Status

approved