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A000853
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Number of n-input 2-output switching networks under action of complementing group C(2,n) on inputs and S(2) and C(2,2) on outputs
(Formerly M3054 N1238)
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1
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3, 18, 1200, 33601536, 72057597192044544, 664613997892457950142846397346480128, 113078212145816597093331040047546785266841516594958545044409945396273479680
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| M. A. Harrison, On the number of classes of switching networks, J. Franklin Instit., 276 (1963), 313-327.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10
Index entries for sequences related to switching networks
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FORMULA
| a(n) = (4^(2^n)+6*(2^n-1)*4^(2^(n-1))+2^(2^n+1))/2^(n+3). [Sean A. Irvine, Aug 11, 2011]
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PROG
| (MAGMA) [(4^(2^n)+6*(2^n-1)*4^(2^(n-1))+2^(2^n+1))/2^(n+3): n in [1..12]]; // Vincenzo Librandi, Aug 11 2011
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CROSSREFS
| Sequence in context: A064846 A157544 A202946 * A065402 A131489 A069854
Adjacent sequences: A000850 A000851 A000852 * A000854 A000855 A000856
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KEYWORD
| nonn,more
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Aug 10 2011
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