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.
%I A134631 #19 Mar 16 2025 14:49:50
%S A134631 0,4,144,1152,4960,15300,38304,83104,162432,293220,497200,801504,
%T A134631 1239264,1850212,2681280,3787200,5231104,7085124,9430992,12360640,
%U A134631 15976800,20393604,25737184,32146272,39772800,48782500,59355504,71686944,85987552,102484260,121420800,143058304,167675904,195571332,227061520
%N A134631 a(n) = 5*n^5 - 3*n^3 + 2*n^2. Coefficients and exponents are the prime numbers in decreasing order.
%H A134631 Harvey P. Dale, <a href="/A134631/b134631.txt">Table of n, a(n) for n = 0..1000</a>
%H A134631 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F A134631 a(n) = 5*n^5 - 3*n^3 + 2*n^2.
%F A134631 G.f.: 4x*(1+30x+87x^2+32x^3)/(1-x)^6. - _R. J. Mathar_, Nov 14 2007
%e A134631 a(4)=4960 because 4^5=1024, 5*1024=5120, 4^3=64, 3*64=192, 4^2=16, 2*16=32 and we can write 5120 - 192 + 32 = 4960.
%t A134631 Table[5n^5-3n^3+2n^2,{n,0,40}] (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{0,4,144,1152,4960,15300},40] (* _Harvey P. Dale_, Jan 20 2023 *)
%o A134631 (Magma)[5*n^5-3*n^3+2*n^2: n in [0..50]]; // _Vincenzo Librandi_, Dec 14 2010
%Y A134631 Cf. A000290, A000578, A000584, A045991, A100019, A133071.
%K A134631 nonn
%O A134631 0,2
%A A134631 _Omar E. Pol_, Nov 04 2007
%E A134631 More terms from _Vincenzo Librandi_, Dec 14 2010