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.

A198403 a(n) = 6^n * n^6.

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%I A198403 #24 Sep 04 2022 22:32:41
%S A198403 0,6,2304,157464,5308416,121500000,2176782336,32934190464,
%T A198403 440301256704,5355700839936,60466176000000,642717115324416,
%U A198403 6499837226778624,63041475422674944,590045794670739456,5355700839936000000
%N A198403 a(n) = 6^n * n^6.
%H A198403 Vincenzo Librandi, <a href="/A198403/b198403.txt">Table of n, a(n) for n = 0..1000</a>
%H A198403 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (42,-756,7560,-45360,163296,-326592,279936).
%F A198403 G.f.: 6*x*(1 + 336*x + 8856*x^2 + 12096*x^3 + 1296*x^4)/(1-6*x)^7. - _Colin Barker_, Apr 30 2013
%F A198403 E.g.f.: 6*x*(1 + 186*x + 3240*x^2 + 14040*x^3 + 19440*x^4 + 7776*x^5)*exp(6*x). - _G. C. Greubel_, May 18 2022
%F A198403 a(n) = A000400(n)*A001014(n). - _Michel Marcus_, May 19 2022
%F A198403 a(n) = 42*a(n-1) - 756*a(n-2) + 7560*a(n-3) - 45360*a(n-4) + 163296*a(n-5) - 326592*a(n-6) + 279936*a(n-7). - _Wesley Ivan Hurt_, Sep 04 2022
%t A198403 With[{m=6}, Table[n^m*m^n, {n,0,30}]] (* _G. C. Greubel_, May 18 2022 *)
%o A198403 (Magma) [6^n*n^6: n in [0..20]]
%o A198403 (PARI) a(n)=6^n*n^6 \\ _Charles R Greathouse IV_, Jul 06 2017
%o A198403 (SageMath) m=6; [n^m*m^n for n in (0..30)] # _G. C. Greubel_, May 18 2022
%Y A198403 Cf. A000400, A001014.
%Y A198403 Sequences of the form n^m*m^n: A001477 (m=1), A007758 (m=2), A062074 (m=3), A062075 (m=4), A198402 (m=5), this sequence (m=6), A098803 (m=7), A198404 (m=8), A198478 (m=9), A198479 (m=10), A098880 (m=11).
%K A198403 nonn,easy
%O A198403 0,2
%A A198403 _Vincenzo Librandi_, Oct 27 2011