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A007041 State assignments for n-state machine.
(Formerly M2016)
2
2, 12, 12, 1120, 3360, 6720, 6720, 172972800, 1210809600, 7264857600, 36324288000, 145297152000, 435891456000, 871782912000, 871782912000, 1676837160768946176000, 25152557411534192640000, 352135803761478696960000, 4577765448899223060480000 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

P. E. Wood, Jr., Switching Theory, McGraw-Hill, 1968, see p. 263.

LINKS

Michael De Vlieger, Table of n, a(n) for n = 2..410

D. Fielder, Letters to N. J. A. Sloane (with attachment), 1991

FORMULA

a(n) = (2^s)!/((2^s-n)!*s!) where s = ceiling(log_2 n).

MATHEMATICA

Array[(2^#2)!/((2^#2 - #1)!*#2!) & @@ {#, Ceiling@ Log2@ #} &, 19, 2] (* Michael De Vlieger, Nov 05 2017 *)

CROSSREFS

Cf. A006845.

Sequence in context: A306693 A169900 A140355 * A331880 A028424 A175270

Adjacent sequences:  A007038 A007039 A007040 * A007042 A007043 A007044

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms and formula corrected by Sean A. Irvine, Sep 24 2017

STATUS

approved

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Last modified January 29 09:18 EST 2022. Contains 350672 sequences. (Running on oeis4.)