A229150 a(n) = n^7*(9*n+7)/2.

0, 8, 1600, 37179, 352256, 2031250, 8538048, 28824005, 82837504, 210450636, 485000000, 1032820063, 2060328960, 3890408054, 7009998016, 12131015625, 20266876928, 32827093840, 51732592704, 79554584771, 119680000000, 176506677018, 255671683520, 364316322829

Offset: 0

Author

Alois P. Heinz, Sep 15 2013

Keywords

• nonn
• easy

Comments

Number of ascending runs in {1,...,n}^8.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Row n=8 of A229079.

Programs

Maple

a:= n-> n^7*(9*n+7)/2:
seq(a(n), n=0..40);

Mathematica

A229150[n_]:=n^7(9n+7)/2;Array[A229150,30,0] (* Paolo Xausa, Oct 24 2023 *)

Formula

G.f.: -(x^7+695*x^6+15570*x^5+65998*x^4+74573*x^3+23067*x^2+1528*x+8)*x/ (x-1)^9.