Number of 0..n arrays x(0..6) of 7 elements with nondecreasing average value.

Terms

a(0) =8a(1) =87a(2) =488a(3) =1957a(4) =6235a(5) =16919a(6) =40437a(7) =87914a(8) =176767a(9) =333702a(10) =597390a(11) =1023102a(12) =1685581a(13) =2687038a(14) =4160030a(15) =6277804a(16) =9258994a(17) =13381323a(18) =18984366a(19) =26491458a(20) =36409891a(21) =49357180a(22) =66063593a(23) =87404568a(24) =114396287a(25) =148245212a(26) =190335373