The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A007546 Number of steps to compute n-th prime in PRIMEGAME (fast version). (Formerly M5074) 7
 19, 69, 280, 707, 2363, 3876, 8068, 11319, 19201, 36866, 45551, 75224, 101112, 117831, 152025, 215384, 293375, 327020, 428553, 507519, 555694, 700063, 808331, 989526, 1273490, 1434366, 1530213, 1710923, 1818254, 2019962, 2833089, 3104685 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES D. Olivastro, Ancient Puzzles. Bantam Books, NY, 1993, p. 21. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Alois P. Heinz, Table of n, a(n) for n = 1..1000 J. H. Conway, FRACTRAN: a simple universal programming language for arithmetic, in T. M. Cover and Gopinath, eds., Open Problems in Communication and Computation, Springer, NY 1987, pp. 4-26. R. K. Guy, Conway's prime producing machine, Math. Mag. 56 (1983), no. 1, 26-33. Wikipedia, Conway's PRIMEGAME MAPLE with(numtheory): f:= proc(n) local l, b, d; l:= sort([divisors (n)[]]); b:= l[nops(l)-1]; n-1 +(6*n+2)*(n-b) +2*add(floor(n/d), d=b..n-1) end: a:= proc(n) option remember; `if`(n=1, f(2), a(n-1) +add(f(i), i=ithprime(n-1)+1..ithprime(n))) end: seq(a(n), n=1..40); # Alois P. Heinz, Aug 12 2009 MATHEMATICA f[n_] := Module[{l, b, d}, l = Divisors [n]; b = l[[-2]]; n-1 + (6*n+2)*(n-b) + 2*Sum[Floor[n/d], {d, b, n-1}]]; a[n_] := a[n] = If[n == 1, f[2], a[n-1] + Sum[f[i], {i, Prime[n-1]+1, Prime[n]}]]; Table[a[n], {n, 1, 32}] (* Jean-François Alcover, Oct 04 2013, translated from Alois P. Heinz's Maple program *) CROSSREFS Cf. A007542, A007547. Sequence in context: A297226 A300463 A204675 * A007547 A217081 A010007 Adjacent sequences:  A007543 A007544 A007545 * A007547 A007548 A007549 KEYWORD easy,nonn,nice AUTHOR EXTENSIONS More terms from Alois P. Heinz, Aug 12 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 6 09:45 EDT 2021. Contains 343580 sequences. (Running on oeis4.)