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A191984
Monotonically ordered sums 2^(i-1)+3*2^(j-1), for i>=1, j>=1.
4
4, 5, 7, 8, 10, 11, 13, 14, 16, 19, 20, 22, 25, 26, 28, 32, 35, 38, 40, 44, 49, 50, 52, 56, 64, 67, 70, 76, 80, 88, 97, 98, 100, 104, 112, 128, 131, 134, 140, 152, 160, 176, 193, 194, 196, 200, 208, 224, 256, 259, 262, 268, 280, 304, 320, 352, 385, 386, 388
OFFSET
1,1
MATHEMATICA
c = 1; d = 3; f[n_] := 2^(n - 1);
g[n_] := c*f[n]; h[n_] := d*f[n];
t[i_, j_] := h[i] + g[j]
u = Table[t[i, j], {i, 1, 20}, {j, 1, 20}];
v = Union[Flatten[u ]] (* A191984 *)
t1[i_, j_] := If[g[i] - h[j] > 0, g[i] - h[j], 0]
u1 = Table[t1[i, j], {i, 1, 20}, {j, 1, 20}];
v1 = Union[Flatten[u1 ]] (* A191985; c*f(i)-d*f(j) *)
c1 = d; d1 = c;
g1[n_] := d*f[n]; h1[n_] := c*f[n];
t2[i_, j_] := If[g1[i] - h1[j] > 0, g1[i] - h1[j], 0]
u2 = Table[t2[i, j], {i, 1, 20}, {j, 1, 20}];
v2 = Union[Flatten[u2 ]] (* A191986; d*f(i)-c*f(j) *)
v3 = Union[v1, v2] (* A191987 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 22 2011
STATUS
approved