A157633 - OEIS

%I #2 Mar 30 2012 17:34:34

%S 1,1,1,1,14,1,1,64,64,1,1,174,224,174,1,1,368,528,528,368,1,1,670,

%T 1024,1134,1024,670,1,1,1104,1760,2064,2064,1760,1104,1,1,1694,2784,

%U 3390,3584,3390,2784,1694,1,1,2464,4144,5184,5680,5680,5184,4144,2464,1,1

%N Triangle T(n,m) read rows: 1 in column m=0 and on the diagonal, 2*m*(n-m)*(m^2-n*m+2*n^2) otherwise.

%C Row sums are (30+9*n^5-10*n^3+n)/15, n>0.

%F T(n,m)= 1 if m=0 or m=n, else n^4 - m^4 - (n - m)^4.

%e {1},

%e {1, 1},

%e {1, 14, 1},

%e {1, 64, 64, 1},

%e {1, 174, 224, 174, 1},

%e {1, 368, 528, 528, 368, 1},

%e {1, 670, 1024, 1134, 1024, 670, 1},

%e {1, 1104, 1760, 2064, 2064, 1760, 1104, 1},

%e {1, 1694, 2784, 3390, 3584, 3390, 2784, 1694, 1},

%e {1, 2464, 4144, 5184, 5680, 5680, 5184, 4144, 2464, 1},

%e {1, 3438, 5888, 7518, 8448, 8750, 8448, 7518, 5888, 3438, 1}

%t t[n_, m_] = If[n*m*(n - m) == 0, 1, n^4 - (m^4 + (n - m)^4)];

%t Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];

%t Flatten[%]

%Y Cf. A157278

%K nonn,tabl

%O 0,5

%A _Roger L. Bagula_, Mar 03 2009

%E Edited by the Associate Editors of the OEIS, Apr 22 2009