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Unsigned fifth column (k=4) of triangle A136656 divided by 16.
2

%I #13 Sep 26 2024 03:27:32

%S 1,30,645,12495,235305,4452840,86070600,1713927600,35318883600,

%T 754896542400,16751853518400,386036370720000,9235831629024000,

%U 229285008336384000,5902321642753536000,157423965566579712000

%N Unsigned fifth column (k=4) of triangle A136656 divided by 16.

%C Also unsigned fourth column of triangle A136657 divided by 8.

%D Ch. A. Charalambides, Enumerative Combinatorics, Chapman & Hall/CRC, Boca Raton, Florida, 2002, Table 8.3, p. 311, with s=-2, k=4 column/16.

%F a(n) = |A136656(n+4,4)|/16, n>=0.

%F E.g.f.: (8+144*x+228*x^2-220*x^3-45*x^4+60*x^5-10*x^6)/(8*(1-x)^12) (derived from the one given for the column k=4 under A136656).

%Y Cf. A136656, A136660 (column k=3).

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Feb 22 2008