1,5

Row sums are:

{1, 2, 4, 13, 46, 118, 275, 633, 1481, 2844, 6535}.;

Here the interior coefficients are larger than the

pascal triangle: most generalized Pascal triangles yield smaller interior

coefficients.

a(n,d)=If[n == 0 || n == d, 1, f[n, d]* Binomial[d, n]]; f(n,d) = Floor[1 + d*Sech[d/2 - n]].

{{1},

{1, 1},

{1, 6, 1},

{1, 9, 9, 1},

{1, 12, 30, 12, 1},

{1, 15, 50, 50, 15,1},

{1, 12, 60, 140, 60, 12, 1},

{1, 14, 63, 245, 245, 63, 14, 1},

{1, 8, 84, 336, 630, 336, 84, 8, 1},

{1, 9, 72, 336, 1008, 1008, 336, 72, 9,1},

{1, 10, 45, 360, 1470, 2772, 1470, 360, 45, 10, 1}}

f[n_, d_] = Floor[1 + d*Sech[d/2 - n]]; a = Table[Table[If[n == 0 || n == d, 1, f[n, d]* Binomial[ d, n]], {n, 0, d}], {d, 0, 10}]; Flatten[a] Table[Apply[Plus, Table[If[n == 1 || n == d, 1, f[n, d]* Binomial[d, n]], {n, 0, d}]], {d, 0, 10}];

Adjacent sequences: A140281 A140282 A140283 this_sequence A140285 A140286 A140287

Sequence in context: A141600 A011491 A132047 this_sequence A046621 A046617 A131063

nonn,uned,tabl

Roger Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), May 23 2008