Corrected version of this post made 7 days ago. I had duplicated some numbers while copying and pasting. I apologize for any misinformation posted.
The following is a list of box numbers for pick 3 associated with LLL,HHH,LHH,and LLH
LLL=== 000,001,002,003,004,005,006,007,008,009,011,012,013,014,111,112,113,114,122,123,124,222,223,224,333,334,444,
HHH===
555,556,557,558,559,566,567,568,569,577,578,579,588,589,599,666,667,668,669,677,678,679,688,689,699,777,778,779,788,789,799,888,889,899,999
LHH===
055,056,057,058,059,066,067,068,069,077,078,079,088,089,099,155,156,157,158,159,166,167,168,169,177,178,179,188,189,199,255,256,257,258,259,266,267,268,269,277,278,279,288,289,299,355,356,357,358,359,366,367,368,369,377,378,379,388,389,399,455,456,457,458,459,466,467,468,469,477,478,479,488,489,499,
LLH===
005,006,007,008,009,015,016,017,018,019,025,026,027,028,029,035,036,037,038,039,045,046,047,048,049,115,116,117,118,119,125,126,127,128,129,135,136,137,138,139,145,146,147,148,149,225,226,227,228,229,235,236,237,238,239,245,246,247,248,249,335,336,337,338,339,345,346,347,348,349,445,446,447,448,449