A282730 Sequence of integers defined by 3-expansion of Pi-3.

5, 9, 19, 37, 73, 147, 293, 585, 1169, 2337, 4675, 9351, 18703, 37407, 74815, 149631, 299261, 598523, 1197047, 2394093, 4788187, 9576373, 19152747, 38305493, 76610987, 153221973, 306443945, 612887889, 1225775779, 2451551557, 4903103113, 9806206225, 19612412451, 39224824901, 78449649801

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Julien Leroy, Michel Rigo, and Manon Stipulanti, Behavior of Digital Sequences Through Exotic Numeration Systems, Electronic Journal of Combinatorics 24(1) (2017), #P1.44. See Example 19.

Formula

a(n) = 2^(n+1) + 2*floor((Pi-3)*2^n) + 1. - Michel Marcus, Oct 29 2023

Prog

(PARI) a(n) = 2^(n+1) + 2*floor((Pi-3)*2^n) + 1; \\ Michel Marcus, Oct 29 2023

Crossrefs

Cf. A000796, A004601, A282729.

Sequence in context: A235799 A295966 A060161 * A082674 A292773 A228338

Adjacent sequences: A282727 A282728 A282729 * A282731 A282732 A282733

Keyword

nonn

Author

N. J. A. Sloane, Mar 03 2017

Extensions

More terms from Michel Marcus, Oct 29 2023

Status

approved