Number of third differences of arrays of length 7 of numbers in 0..n.

Terms

a(0) =127a(1) =2059a(2) =13933a(3) =53315a(4) =141989a(5) =310425a(6) =596591a(7) =1045439a(8) =1707409a(9) =2640285a(10) =3910211a(11) =5589739a(12) =7758477a(13) =10503089a(14) =13917295a(15) =18101871a(16) =23164649a(17) =29220517a(18) =36391419a(19) =44806355a(20) =54601381a(21) =65919609a(22) =78911207a(23) =93733399a(24) =110550465