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 A005356 Number of low discrepancy sequences in base 2. (Formerly M2435) 4
 0, 0, 1, 3, 5, 8, 11, 14, 18, 22, 26, 30, 34, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 155, 161, 167, 173, 179, 185, 191, 198, 205, 212, 219, 226, 233, 240, 247, 254, 261, 268, 275, 282, 289, 296 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Harald Niederreiter, Low-discrepancy and low-dispersion sequences, J. Number Theory 30 (1988), no. 1, 51-70. MAPLE N := proc(b, n)     option remember;     local d;     add(b^d*numtheory[mobius](n/d), d=numtheory[divisors](n)) ;     %/n ; end proc: M := proc(b, n)     local h;     if n = 0 then         0;     else         add(N(b, h), h=1..n) ;     end if; end proc: nMax := proc(b, s)     local n;     for n from 0 do         if M(b, n) > s then             return n-1 ;         end if;     end do: end proc: A005356 := proc(s)     local n, b;     b := 2 ;     n := nMax(b, s) ;     n*(s-M(b, n))+add( (h-1)*N(b, h), h=1..n) ; end proc: seq(A005356(n), n=1..40) ; # R. J. Mathar, Jun 09 2016 CROSSREFS Cf. A005357 (base 3), A005377 (base 4), A005358 (base 5). Sequence in context: A052488 A076372 A248611 * A060432 A156023 A261223 Adjacent sequences:  A005353 A005354 A005355 * A005357 A005358 A005359 KEYWORD nonn AUTHOR EXTENSIONS More terms from Sean A. Irvine, May 27 2016 STATUS approved

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Last modified May 18 05:01 EDT 2021. Contains 343994 sequences. (Running on oeis4.)