A179575 Number of permutations of 1..n+8 with the number moved left exceeding the number moved right by n.

85831, 482272, 2425600, 11370998, 50869482, 220378172, 933464692, 3891019939, 16033227477, 65516894644, 266104371580, 1076056450400, 4337364627584, 17442468207248, 70026476198736, 280798779858421, 1125013715994531, 4504641994851096, 18029454920859304, 72141044016237994

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n=1..20

Index entries for linear recurrences with constant coefficients, order 16

Formula

a(n) = A062866(n+8,n). - Seiichi Manyama, Apr 23 2026

a(n) = A179583(n) - A179582(n+1). - R. J. Mathar, Jul 22 2026

G.f.: -x*(-85831 +2092658*x -23577305*x^2 +162864256*x^3 -771410500*x^4 +2653646370*x^5 -6847836400*x^6 +13495695085*x^7 -20475380646*x^8 +23909786235*x^9 -21310755338*x^10 +14236138944*x^11 -6899602992*x^12 +2290436784*x^13 -465753888*x^14 +43742592*x^15) / ( (-1+4*x)*(-1+3*x)^3*(2*x-1)^5*(x-1)^7 ). - R. J. Mathar, Jul 22 2026

Crossrefs

Cf. A062866.

Sequence in context: A201269 A184212 A253531 * A234805 A186065 A238309

Adjacent sequences: A179572 A179573 A179574 * A179576 A179577 A179578

Keyword

nonn,easy,changed

Author

R. H. Hardin, Jul 19 2010

Extensions

Terms a(21) and beyond from Seiichi Manyama, Apr 23 2026

Status

approved