OEIS/FASS curves

Beyond OEIS sequence A220952

Sequence A220952 is best discussed with numbers to base 5. The first 125 values then are:

0,1,2,3,4,14,24,34,33,32,31,21,22,23,13,12,11,10,20,30,40,41,42,43,44,
144,244,344,343,342,341,241,242,243,143,142,141,140,240,340,330,320,310,210,220,
230,130,120,110,111,112,113,123,122,121,131,132,133,233,232,231,221,222,223,213,
212,211,311,312,313,323,322,321,331,332,333,334,324,314,214,224,234,134,124,114,
104,204,304,303,302,301,201,202,203,103,102,101,100,200,300,400,401,402,403,404,
414,424,434,433,432,431,421,422,423,413,412,411,410,420,430,440,441,442,443,444

In each generation the number of digits is increased by one. The first 25 values form the adjacency condition matrix as defined by Knuth: