A163896 -id:A163896 - cp's OEIS frontend

A163911 Maximum cycle size in range [A000302(n-1)..A024036(n)] of permutation A163355/A163356.

Original entry on oeis.org

1, 2, 6, 8, 18, 32, 108, 216, 324, 1944, 1944

Offset: 0

Antti Karttunen, Sep 19 2009

nonn

See also A163891, A163896, A163910, A163912, A163904, A163890.

A163891 Positions where A163890 obtains distinct new values.

Original entry on oeis.org

0, 2, 4, 5, 24, 33, 68, 76, 96, 390, 536, 561, 1092, 1093, 1156, 1220, 1554, 6242, 8465, 8584, 8977, 17953, 18500, 19564, 99396, 99873, 101444, 137286, 143633, 279620, 279622, 287108, 287248, 397585, 401796, 1597720, 1597969, 1598532

Offset: 0

Antti Karttunen, Sep 19 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..42

See A163892, A163893, A163896, A163911, A163912.

A163894 The least i for which A163355^n(i) is not equal to i, 0 if no such i exists, i.e., when A163355^n = A001477.

Original entry on oeis.org

0, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 33, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 76, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 33, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 76, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 33, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 390, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4, 2, 33, 2, 4, 2, 4, 2, 24, 2, 4, 2, 4

Offset: 0

Antti Karttunen, Sep 19 2009

nonn

A163355^n means n-fold application of A163355, i.e., A163355^2 = A163905, A163355^3 = A163915. By convention A163355^0 = A001477.

A. Karttunen, Table of n, a(n) for n = 0..4095

See A163890, A163895, A163896.

A163894 := proc(n)
    local i,a355,a,itr ;
    if n = 0 then
        return 0 ;
    end if;
    a := 0 ;
    for i from 0 do
        a355 := A163355(i) ;
        for itr from 2 to n do
            a355 := A163355(a355) ;
        end do:
        if a355 <> i then
            return i ;
        end if;
    end do:
end proc:
seq(A163894(n),n=0..100) ; # R. J. Mathar, Nov 22 2023

A163895 Positions where A163894 obtains record values.

Original entry on oeis.org

0, 1, 2, 6, 12, 24, 72, 144, 288, 864, 1728, 5184, 10368

Offset: 0

Antti Karttunen, Sep 19 2009

nonn

The ratios a(n+1)/a(n) from n>=1 onward start as 2,3,2,2,3,2,2,3,2,3,2,...

See A163896, A309016.

cp's OEIS Frontend

A163911 Maximum cycle size in range [A000302(n-1)..A024036(n)] of permutation A163355/A163356.

Views

Author

Keywords

Crossrefs

A163891 Positions where A163890 obtains distinct new values.

Views

Author

Keywords

Links

Crossrefs

A163894 The least i for which A163355^n(i) is not equal to i, 0 if no such i exists, i.e., when A163355^n = A001477.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Maple

A163895 Positions where A163894 obtains record values.

Views

Author

Keywords

Comments

Crossrefs