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.

A062806 a(n) = Sum_{i=1..n} i*n^i.

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%I A062806 #18 Jul 03 2025 03:01:57
%S A062806 1,10,102,1252,18555,324726,6565468,150652552,3868151445,109876543210,
%T A062806 3420886930626,115835619046764,4238148192940207,166614350863692382,
%U A062806 7004068093591806840,313512663723845890576,14887093306681068252201,747445606689889243214802
%N A062806 a(n) = Sum_{i=1..n} i*n^i.
%H A062806 Reinhard Zumkeller, <a href="/A062806/b062806.txt">Table of n, a(n) for n = 1..250</a>
%F A062806 a(n) = (n^(n+1)*(n^2-n-1) + n)/(n-1)^2 for n>1. - _Dean Hickerson_, Jun 26 2001
%F A062806 a(n) = n * A068475(n). - _Reinhard Zumkeller_, Nov 22 2014
%t A062806 Sum[i*n^i, {i, 1, n}]
%o A062806 (Haskell)
%o A062806 a062806 n = sum $ zipWith (*) [1..n] $ iterate (* n) n
%o A062806 -- _Reinhard Zumkeller_, Nov 22 2014
%Y A062806 Cf. A068475.
%K A062806 nonn,easy
%O A062806 1,2
%A A062806 _Olivier Gérard_, Jun 23 2001