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A005619 Number of Boolean functions realized by n-input cascades.
(Formerly M5020)
+0
1
16, 240, 6448, 187184, 5474096, 160196400, 4688357168, 137211717424, 4015706384176 (list; graph; listen)
OFFSET

2,1

REFERENCES

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

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

J. T. Butler, Tandem networks of universal cells, IEEE Trans. Computers, C-27 (1978), 681-690.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Index entries for sequences related to Boolean functions

MAPLE

A005619:=-16*(1-18*z+20*z**2)/(z-1)/(80*z**2-32*z+1); [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Sequence in context: A010559 A063814 A058667 this_sequence A135518 A064232 A074153

Adjacent sequences: A005616 A005617 A005618 this_sequence A005620 A005621 A005622

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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