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Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.
0

%I #4 Mar 30 2012 17:36:31

%S 1,1,7,22,48,93,180,331,567,918,1434,2180,3232,4669,6596,9142,12459,

%T 16725,22148,28960,37428,47860,60612,76079,94702,116970,143438,174721,

%U 211489,254481,304520,362503,429407,506290,594309,694722

%N Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.

%F (1-3*x+10*x^2 -7*x^3+7*x^4+4*x^5+6*x^6+4*x^7+7*x^8-7*x^9+10*x^10-3*x^11+x^12)*(1+x^4)*(1+x)/((1-x^7)*(1-x^6)*(1-x^5)*(1-x^4)*(1-x)^3).

%K nonn

%O 0,3

%A _David Broadhurst_