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A282730
Sequence of integers defined by 3-expansion of Pi-3.
1
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 03 2017
EXTENSIONS
More terms from Michel Marcus, Oct 29 2023
STATUS
approved