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A129651 a(n) is the smallest position k at which b_n(i)<b_n(i+1) for all i>=k, where b_n(m) is the largest order of a permutation of m elements with exactly n cycles. 4

%I

%S 1,6,37,126,287,540,895

%N a(n) is the smallest position k at which b_n(i)<b_n(i+1) for all i>=k, where b_n(m) is the largest order of a permutation of m elements with exactly n cycles.

%e a(2)=6 because b_2(6)=5 and b_2(i)<b_2(i+1) for all i>=6. (That is, the largest order of a permutation of i elements with exactly 2 cycles is monotonic increasing starting at i=6.)

%Y Cf. A000793, A129647, A129648, A129649, A129650.

%K hard,more,nonn

%O 1,2

%A Nickolas Reynolds (nickels(AT)gmail.com), Apr 25 2007, Apr 26 2007, Apr 27 2007

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Last modified September 27 21:12 EDT 2021. Contains 347698 sequences. (Running on oeis4.)