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A028402 Number of types of Boolean functions of n variables under a certain group. 2
6, 20, 72, 272, 1056, 4160, 16512, 65792, 262656, 1049600, 4196352, 16781312, 67117056, 268451840, 1073774592, 4295032832, 17180000256, 68719738880, 274878431232, 1099512676352, 4398048608256, 17592190238720, 70368752566272, 281474993487872, 1125899940397056 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 2..300

I. Strazdins, Universal affine classification of Boolean functions, Acta Applic. Math. 46 (1997), 147-167.

Index entries for sequences related to Boolean functions

Index entries for linear recurrences with constant coefficients, signature (6,-8).

FORMULA

a(n) = 2^(n-1) * (2^(n-1)+1). - Sean A. Irvine, Jan 07 2020

From Chai Wah Wu, Dec 29 2021: (Start)

a(n) = 6*a(n-1) - 8*a(n-2) for n > 3.

G.f.: x^2*(6 - 16*x)/((2*x - 1)*(4*x - 1)). (End)

MATHEMATICA

Table[2^(n-1) (2^(n-1) + 1), {n, 2, 30}] (* Vincenzo Librandi, Jan 08 2020 *)

PROG

(MAGMA) [2^(n-1)*(2^(n-1)+1): n in [2..30]]; // Vincenzo Librandi, Jan 08 2020

CROSSREFS

Essentially the same as A063376.

Sequence in context: A235367 A189604 A153372 * A092760 A240043 A058494

Adjacent sequences:  A028399 A028400 A028401 * A028403 A028404 A028405

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(6) corrected and more terms from Sean A. Irvine, Jan 07 2020

STATUS

approved

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Last modified August 12 07:45 EDT 2022. Contains 356067 sequences. (Running on oeis4.)