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.

A060103 Fourth column (m=3) of triangle A060102.

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%I A060103 #11 Dec 26 2023 22:37:32
%S A060103 1,13,71,259,742,1806,3906,7722,14223,24739,41041,65429,100828,150892,
%T A060103 220116,313956,438957,602889,814891,1085623,1427426,1854490,2383030,
%U A060103 3031470,3820635,4773951,5917653
%N A060103 Fourth column (m=3) of triangle A060102.
%H A060103 Harvey P. Dale, <a href="/A060103/b060103.txt">Table of n, a(n) for n = 0..1000</a>
%H A060103 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F A060103 a(n) = (4*n^2+20*n+15)*binomial(n+4, 4)/15.
%F A060103 G.f.: (1+6*x+x^2)/(1-x)^7.
%F A060103 a(0)=1, a(1)=13, a(2)=71, a(3)=259, a(4)=742, a(5)=1806, a(6)=3906, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - _Harvey P. Dale_, Dec 16 2012
%t A060103 Table[((4n^2+20n+15)Binomial[n+4,4])/15,{n,0,30}] (* or *) LinearRecurrence[ {7,-21,35,-35,21,-7,1},{1,13,71,259,742,1806,3906},30] (* _Harvey P. Dale_, Dec 16 2012 *)
%Y A060103 Cf. A000012, A000290, A002417, A060102.
%K A060103 nonn,easy
%O A060103 0,2
%A A060103 _Wolfdieter Lang_, Apr 06 2001