%I A051799
%S A051799 1,14,60,170,385,756,1344,2220,3465,5170,7436,10374,14105,18760,24480,
%T A051799 31416,39729,49590,61180,74690,90321,108284,128800,152100,178425,
%U A051799 208026,241164,278110,319145,364560,414656,469744,530145,596190
%N A051799 Partial sums of A007587.
%C A051799 4-dimensional pyramidal number, composed of consecutive 3-dimensional 
               slices; each of which is a 3-dimensional 12-gonal (or dodecagonal) 
               pyramidal number; which in turn is composed of consecutive 2-dimensional 
               slices 12-gonal numbers. - Jonathan Vos Post (jvospost3(AT)gmail.com), 
               Mar 17 2006
%D A051799 A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, 
               pp. 194-196.
%D A051799 Herbert John Ryser, Combinatorial Mathematics, "The Carus Mathematical 
               Monographs", No. 14, John Wiley and Sons, 1963, pp. 1-8.
%D A051799 Murray R. Spiegel, Calculus of Finite Differences and Difference Equations, 
               "Schaum's Outline Series", McGraw-Hill, 1971, pp. 10-20, 79-94.
%F A051799 a(n)=C(n+3, 3)*(5n+2)/2 = (n+1)(n+2)(n+3)(5n+2)/12.
%F A051799 G.f.: (1+9*x)/(1-x)^5.
%Y A051799 Cf. A007587.
%Y A051799 Cf. A093645 ((10, 1) Pascal, column m=4).
%Y A051799 Cf. A007587, A051624.
%Y A051799 Sequence in context: A158058 A100171 A063492 this_sequence A164540 A140184 
               A025415
%Y A051799 Adjacent sequences: A051796 A051797 A051798 this_sequence A051800 A051801 
               A051802
%K A051799 easy,nonn
%O A051799 0,2
%A A051799 Barry E. Williams, Dec 11 1999