cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A229150 #14 Oct 24 2023 06:15:12
%S A229150 0,8,1600,37179,352256,2031250,8538048,28824005,82837504,210450636,
%T A229150 485000000,1032820063,2060328960,3890408054,7009998016,12131015625,
%U A229150 20266876928,32827093840,51732592704,79554584771,119680000000,176506677018,255671683520,364316322829
%N A229150 a(n) = n^7*(9*n+7)/2.
%C A229150 Number of ascending runs in {1,...,n}^8.
%H A229150 Alois P. Heinz, <a href="/A229150/b229150.txt">Table of n, a(n) for n = 0..1000</a>
%H A229150 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A229150 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.
%p A229150 a:= n-> n^7*(9*n+7)/2:
%p A229150 seq(a(n), n=0..40);
%t A229150 A229150[n_]:=n^7(9n+7)/2;Array[A229150,30,0] (* _Paolo Xausa_, Oct 24 2023 *)
%Y A229150 Row n=8 of A229079.
%K A229150 nonn,easy
%O A229150 0,2
%A A229150 _Alois P. Heinz_, Sep 15 2013