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%I #20 Sep 08 2022 08:45:00
%S 1,11,63,255,825,2277,5577,12441,25740,50050,92378,163098,277134,
%T 455430,726750,1129854,1716099,2552517,3725425,5344625,7548255,
%U 10508355,14437215,19594575,26295750,34920756,45924516,59848228,77331980,99128700,126119532,159330732,199952181,249357615
%N Partial sums of A050494.
%D A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
%H G. C. Greubel, <a href="/A053367/b053367.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F a(n) = binomial(n+7, 7)*(3n+8)/8.
%F G.f.: (1+2*x)/(1-x)^9.
%t LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 11, 63, 255, 825, 2277, 5577, 12441, 25740}, 30] (* or *) Table[(3*n+8)* Binomial[n+7,7]/8, {n,0,30}] (* _G. C. Greubel_, May 25 2018 *)
%o (PARI) a(n)=binomial(n+7, 7)*(3*n+8)/8 \\ _Charles R Greathouse IV_, Oct 07 2015
%o (Magma) [(3*n+8)*Binomial(n+7,7)/8: n in [0..30]]; // _G. C. Greubel_, May 25 2018
%Y Cf. A050494.
%Y Cf. A093560 ((3, 1) Pascal, column m=8).
%K easy,nonn
%O 0,2
%A _Barry E. Williams_, Jan 06 2000
%E Terms a(24) onward added by _G. C. Greubel_, May 25 2018
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