A229149 a(n) = n^6*(4*n+3).

0, 7, 704, 10935, 77824, 359375, 1259712, 3647119, 9175040, 20726199, 43000000, 83263367, 152285184, 265474495, 444242624, 717609375, 1124073472, 1713767399, 2550916800, 3716624599, 5312000000, 7461652527, 10317571264, 14063409455, 18919194624, 25146484375

Offset: 0

Author

Alois P. Heinz, Sep 15 2013

Keywords

• nonn
• easy

Comments

Number of ascending runs in {1,...,n}^7.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Row n=7 of A229079.

Programs

Maple

a:= n-> n^6*(4*n+3):
seq(a(n), n=0..40);

Mathematica

Table[n^6 (4n+3),{n,0,40}] (* Harvey P. Dale, Oct 10 2023 *)

Formula

G.f.: (x^6+312*x^5+4029*x^4+9664*x^3+5499*x^2+648*x+7)*x/(x-1)^8.