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A022923 Number of integers m such that 7^n < 2^m < 7^(n+1). 1
2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
Asymptotic mean: lim_{m->oo} (1/m) * Sum_{k=1..m} a(k) = log_2(7) (A020860). - Amiram Eldar, Mar 01 2024
EXAMPLE
From Amiram Eldar, Mar 01 2024: (Start)
a(0) = 2 because 7^0 = 1 < 2^1 = 2 < 2^2 = 4 < 7^1 = 7.
a(1) = 3 because 7^1 = 7 < 2^3 = 8 < 2^4 = 16 < 2^3 = 32 < 7^2 = 49.
a(2) = 3 because 7^2 = 49 < 2^6 = 64 < 2^7 = 128 < 2^8 = 256 < 7^3 = 343. (End)
MATHEMATICA
Differences[Floor[Log2[7^Range[0, 100]]]] (* Harvey P. Dale, Jun 23 2019 *)
CROSSREFS
Sequence in context: A089326 A359514 A237367 * A276858 A247656 A294081
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)