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A242656 Mahonian numbers T(n,6) (cf. A008302). 1

%I #3 May 30 2014 18:05:38

%S 1,20,90,259,602,1230,2298,4015,6655,10569,16198,24087,34900,49436,

%T 68646,93651,125761,166495,217602,281083,359214,454570,570050,708903,

%U 874755,1071637,1304014,1576815,1895464,2265912,2694670,3188843,3756165,4405035,5144554,5984563,6935682

%N Mahonian numbers T(n,6) (cf. A008302).

%C 45 years ago this was A000711, but it was dropped during the preparation of the 1973 Handbook of Integer Sequences.

%p g := proc(n, k) option remember; if k=0 then return(1) else if (n=1 and k=1) then return(0) else if (k<0 or k>binomial(n, 2)) then return(0) else g(n-1, k)+g(n, k-1)-g(n-1, k-n) end if end if end if end proc;

%p [seq(g(n,6),n=4..40)];

%Y Cf. A008302.

%K nonn

%O 4,2

%A _N. J. A. Sloane_, May 30 2014

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Last modified April 17 22:02 EDT 2024. Contains 371767 sequences. (Running on oeis4.)