0,3

p := (x, k)->k!^2*sum(x^j/((k-j)!^2*j!), j=0..k); R := (x, n, k)->p(x, k)^n; f := (t, n, k)->sum(coeff(R(x, n, k), x, j)*(t-1)^j*(n*k-j)!, j=0..n*k); for n from 0 to 5 do seq(coeff(f(t, n, 4), t, m)/4!^n, m=0..4*n); od; (A059060, AUTHOR Barbara Haas Margolius (margolius(AT)math.csuohio.edu)) triangle left to right 2. numbers. Give an exemple.

1

0, "0", 0, 0, 1

1, "0", 16, 0, 36, 0, 16, 0, 1

346, "1824", 4536, 7136, 7947, 6336, 3936, 1728, 684, 128, 48, 0, 1

748521, "3662976", 8607744, 12880512, 13731616, 11042688, 6928704, 3458432, 1395126, 453888, 122016, 25344, 4824, 512, 96, 0, 1

... 3993445276, "18743463360", 42506546320, 61907282240, 64917874125, 52087325696, 33176621920, 17181584640, 7352761180, 2628808000, 790912656, 201062080, 43284010, 7873920, 1216000, 154496, 17640, 1280, 160, 0, 1

Cf. A059060.

Sequence in context: A122477 A134155 A058954 this_sequence A031934 A020423 A031804

Adjacent sequences: A124070 A124071 A124072 this_sequence A124074 A124075 A124076

nonn

Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 05 2006