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A229150
a(n) = n^7*(9*n+7)/2.
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
0,2
COMMENTS
Number of ascending runs in {1,...,n}^8.
LINKS
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.
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 *)
CROSSREFS
Row n=8 of A229079.
Sequence in context: A300545 A300972 A300929 * A160231 A213961 A317822
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Sep 15 2013
STATUS
approved