A179710 Number of permutations of 1..n having exactly 7 maxima.

0, 22368256, 1903757312, 89702612992, 3099269660672, 87815735738368, 2165206642589696, 48165109676113920, 990081991141490688, 19125263737773096960, 351453130688070942720, 6201012431516898164736, 105800556580541665640448, 1755407285349861864505344

Offset

12,2

Comments

a(n) = 2048 * A130663(n-1).

Links

Alois P. Heinz, Table of n, a(n) for n = 12..300

Formula

G.f.: -2048*x^13* (264868724736000*x^15 -891839368396800*x^14 +1387289679298560*x^13 -1320505755697152*x^12 +859006229078016*x^11 -404049277108224*x^10 +141829511625984*x^9 -37804275799552*x^8 +7710418349056*x^7 -1202843456128*x^6 +142319143104*x^5 -12540195936*x^4 +796479552*x^3 -34424192*x^2 +905327*x -10922) / ((14*x-1) *(12*x-1)^2 *(10*x-1)^3 *(8*x-1)^4 *(6*x-1)^5 *(4*x-1)^6 *(2*x-1)^7). - Alois P. Heinz, Oct 01 2013

Crossrefs

Column k=6 of A008303.

Sequence in context: A205096 A183969 A112644 * A069317 A022211 A331358

Adjacent sequences: A179707 A179708 A179709 * A179711 A179712 A179713

Keyword

nonn

Author

R. H. Hardin, Jul 25 2010

Extensions

a(18)-a(25) from Alois P. Heinz, Oct 01 2013

Status

approved