A324624 Number of permutations p of [4+n] such that n is the maximum of the number of elements in any integer interval [p(i)..i+(4+n)*[i<p(i)]].

0, 1, 1, 29, 215, 2299, 24610, 290203, 3664639, 49665695, 719356045, 11100719773, 181925519591, 3157018912485, 57848571473665, 1116400995778789, 22637359008083824, 481232567245746693, 10703530470036896333, 248615220921060645505, 6020095122314424497575

Offset

0,4

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = A004307(n+4) - A189389(n+4).

Crossrefs

Row n=4 of A324563 and column of A324564 (as array).

Cf. A004307, A189389.

Sequence in context: A027724 A042638 A213066 * A146224 A287306 A142066

Adjacent sequences: A324621 A324622 A324623 * A324625 A324626 A324627

Keyword

nonn

Author

Alois P. Heinz, Mar 09 2019

Status

approved