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%I #24 May 14 2022 11:28:48
%S 0,1,21,147,627,2002,5278,12138,25194,48279,86779,148005,241605,
%T 380016,578956,857956,1240932,1756797,2440113,3331783,4479783,5939934,
%U 7776714,10064110,12886510,16339635,20531511,25583481,31631257,38826012,47335512,57345288,69059848
%N A diagonal of A036969.
%H Seiichi Manyama, <a href="/A060493/b060493.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F a(n) = n*(n + 1)*(n + 2)*(2*n + 1)*(2*n + 3)*(5*n - 1)/360; a(n) = Sum_{k=1..n} k^2 * Sum_{i=1..k} i^2 = Sum_{k=1..n} k^2*A000330(k). - _Benoit Cloitre_, Mar 20 2004
%F G.f.: -x*(4*x^3+21*x^2+14*x+1) / (x-1)^7. - _Colin Barker_, Dec 19 2012
%o (PARI) a(n)=n*(n + 1)*(n + 2)*(2*n + 1)*(2*n + 3)*(5*n - 1)/360
%Y Cf. A000330, A036969, A351105.
%K nonn,easy
%O 0,3
%A Larry Reeves (larryr(AT)acm.org), Mar 20 2001
%E Missing a(0)=0 inserted by _Alois P. Heinz_, Feb 19 2022
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