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A050404 Partial sums of A051878. 2

%I

%S 1,14,77,280,798,1932,4158,8184,15015,26026,43043,68432,105196,157080,

%T 228684,325584,454461,623238,841225,1119272,1469930,1907620,2448810,

%U 3112200,3918915,4892706,6060159,7450912

%N Partial sums of A051878.

%D A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

%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)=C(n+5, 5)*(4n+3)/3.

%F G.f.: (1+7*x)/(1-x)^7.

%t s=c=z=0;Table[z+=c+=s+=n(n+1)(8n-5)/6,{n,80}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 19 2011 *)

%Y Cf. A051878.

%Y Cf. A093565 ((8, 1) Pascal, column m=6).

%K easy,nonn

%O 0,2

%A _Barry E. Williams_, Dec 21 1999

%E Corrected by _T. D. Noe_, Nov 09 2006

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Last modified October 23 05:13 EDT 2018. Contains 316519 sequences. (Running on oeis4.)