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Matrix inverse of A181543 (cubes of entries of Pascal's triangle).
0

%I #7 Mar 13 2013 04:57:29

%S 1,-1,1,7,-8,1,-163,189,-27,1,8983,-10432,1512,-64,1,-966751,1122875,

%T -163000,7000,-125,1,179781181,-208818216,30317625,-1304000,23625,

%U -216,1,-53090086057,61664945083,-8953081011,385146125,-6988625,64827,-343,1,23402291822743,-27182124061184,3946556485312,-169776943616,3081169000,-28625408,153664,-512,1

%N Matrix inverse of A181543 (cubes of entries of Pascal's triangle).

%C Is the leftmost column derived from A212856?

%F Sum_{j=k..n} A181543(n,j)*T(j,k) = delta(n,k).

%e 1;

%e -1,1;

%e 7,-8,1;

%e -163,189,-27,1;

%e 8983,-10432,1512,-64,1;

%e -966751,1122875,-163000,7000,-125,1;

%e 179781181,-208818216,30317625,-1304000,23625,-216,1;

%Y Cf. A055133.

%K sign,tabl

%O 0,4

%A _R. J. Mathar_, Mar 12 2013