A229152 a(n) = n^9*(11*n+9)/2.

0, 10, 7936, 413343, 6946816, 62500000, 377913600, 1735205101, 6509559808, 20920706406, 59500000000, 153266599915, 363764514816, 805941952348, 1683875312896, 3344572265625, 6356551598080, 11621611896706, 20530186553088, 35172959057911, 58624000000000

Offset: 0

Author

Alois P. Heinz, Sep 15 2013

Keywords

• nonn
• easy

Comments

Number of ascending runs in {1,...,n}^10.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Row n=10 of A229079.

Programs

Maple

a:= n-> n^9*(11*n+9)/2:
seq(a(n), n=0..40);

Mathematica

A229152[n_]:=n^9(11n+9)/2;Array[A229152,30,0] (* Paolo Xausa, Oct 23 2023 *)

Formula

G.f.: -(x^9 +3317*x^8 +199643*x^7 +2172239*x^6 +6901145*x^5 +7512749*x^4 +2834873*x^3 +326597*x^2 +7826*x +10)*x / (x-1)^11.