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A050406 Partial sums of A051880. 2


%S 1,16,91,336,966,2352,5082,10032,18447,32032,53053,84448,129948,

%T 194208,282948,403104,562989,772464,1043119,1388464,1824130,2368080,

%U 3040830,3865680,4868955,6080256,7532721,9263296

%N Partial sums of A051880.

%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)*(5n+3)/3.

%F G.f.: (1+9*x)/(1-x)^7.

%t Nest[Accumulate[#]&,Table[n(n+1)(10n-7)/6,{n,0,50}],3] (* _Harvey P. Dale_, Nov 13 2013 *)

%Y Cf. A051880.

%Y Cf. A093645 ((10, 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 January 18 11:33 EST 2019. Contains 319271 sequences. (Running on oeis4.)