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A diagonal of triangle A277410.
2

%I #5 Oct 25 2016 20:38:28

%S 1,13,165,2310,36330,640710,12588345,273544425,6529047525,

%T 170116046100,4812116809500,147071309685300,4835838768886125,

%U 170422360844360625,6415409821472276625,257182138353489599250,10948868951071241940750,493742086990731259931250,23529007012831307040178125,1182267810558397149214753125,62507026744534189248771965625,3470421725511913171914539625000,201956614461150241288627906875000

%N A diagonal of triangle A277410.

%C The adjacent diagonal in triangle A277410 forms the odd double factorials.

%o (PARI) {A277410(n, k) = my(A=x); for(i=1, n, A = x + subst(intformal(A +x*O(x^n)), x, y*A + (1-y)*x ) ); n!*polcoeff(polcoeff(A, n, x), k, y)}

%o for(n=0, 30, print1(A277410(n+3, n), ", "));

%Y Cf. A277410, A277411.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Oct 25 2016