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A005594 States of a dynamic storage system.
(Formerly M1080)
4
1, 2, 4, 7, 14, 26, 59, 122, 284, 647, 1528, 3602, 8679, 20882, 50824, 124055, 304574, 750122, 1855099, 4600202, 11442086, 28527447, 71292604, 178526882, 447919419, 1125750146, 2833906684, 7144450567, 18036423974 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
C. G. Bower, Transforms
M. D. McIlroy, The number of states of a dynamic storage system, Computer J., 25 (No. 3, 1982), 388-392.
M. D. McIlroy, The number of states of a dynamic storage system, Computer J., 25 (No. 3, 1982), 388-392. (Annotated scanned copy)
FORMULA
Also "CIK" (necklace, indistinct, unlabeled) transform of 2, 1, 1, 1, ...
MATHEMATICA
nmax = 30;
f[x_] = Sum[n*x^n, {n, 1, nmax}];
gf = Sum[(EulerPhi[n]/n)*Log[1/(1 - f[x^n])] + O[x]^nmax, {n, 1, nmax}];
CoefficientList[gf, x] + 1 (* Jean-François Alcover, Jul 29 2018, after Joerg Arndt *)
CROSSREFS
Equals A032198(n)+1.
Sequence in context: A238859 A224960 A217933 * A123196 A347783 A079968
KEYWORD
nonn
AUTHOR
EXTENSIONS
Sequence extended by Christian G. Bower
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)