A130663 1/2048 the number of permutations of 0..n having exactly 7 maxima.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10922, 929569, 43800104, 1513315264, 42878777216, 1057229805952, 23518119959040, 483438472237056, 9338507684459520, 171607973968784640, 3027838101326610432, 51660428017842610176, 857132463549737238528

Offset

0,13

Comments

a(n) = A179710(n+1)/2048.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..300

Formula

G.f.: -x^12* (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

Cf. A100575.

Sequence in context: A089381 A092007 A043581 * A045156 A003919 A179250

Adjacent sequences: A130660 A130661 A130662 * A130664 A130665 A130666

Keyword

nonn

Author

R. H. Hardin, Aug 11 2007

Extensions

a(20)-a(24) from Alois P. Heinz, Oct 01 2013

Status

approved