%I A115006
%S A115006 0,3,8,16,26,39,54,72,92,115,140,168,198,231,266,304,344,387,432,480,530,
%T A115006 583,638,696,756,819,884,952,1022,1095,1170,1248,1328,1411,1496,1584,1674,
%U A115006 1767,1862,1960,2060,2163,2268,2376,2486,2599,2714,2832,2952,3075,3200
%N A115006 Row 2 of array in A114999.
%F A115006 Floor((n+1)^2/4)+n*(n+1).
%F A115006 G.f.: x*(2*x+3)/((1-x)^3*(1+x)).
%o A115006 (MAGMA) [ n*(n+1) + (n+1)^2 div 4: n in [0..50] ];
%o A115006 (PARI) {for(n=0, 50, print1(n*(n+1)+floor((n+1)^2/4), ","))}
%Y A115006 Cf. A114999, A000217 (triangular numbers), A002620 (quarter-squares), 
               A001859 (triangular numbers plus quarter-squares), A017305 (10n+3), 
               A147874 (zero followed by partial sums of A017305).
%Y A115006 Sequence in context: A123979 A013583 A122794 this_sequence A122796 A104249 
               A025202
%Y A115006 Adjacent sequences: A115003 A115004 A115005 this_sequence A115007 A115008 
               A115009
%K A115006 nonn
%O A115006 0,2
%A A115006 N. J. A. Sloane (njas(AT)research.att.com), Feb 23 2006
%E A115006 Edited by Klaus Brockhaus, Nov 18 2008