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Number of ordered triples (i,j,k) in range [0..n] satisfying i == j mod 2 and j == k mod 3.
1

%I #4 Mar 30 2012 17:38:16

%S 1,2,5,12,23,36,61,88,123,170,227,288,373,462,565,688,827,972,1153,

%T 1340,1547,1782,2039,2304,2617,2938,3285,3668,4079,4500,4981,5472,

%U 5995,6562,7163,7776,8461,9158,9893,10680,11507,12348,13273,14212,15195,16238,17327,18432,19633

%N Number of ordered triples (i,j,k) in range [0..n] satisfying i == j mod 2 and j == k mod 3.

%F a(n) = binomial(n+1,3) - linear (PORC) correction term which depends on n mod 6.

%Y Cf. A115523.

%K nonn

%O 0,2

%A _N. J. A. Sloane_ and _Vinay Vaishampayan_, Mar 09 2006