Thomas F. Pettigrew, assistant professor of Social Psychology,  a White House conference Tuesday that segregated  becoming more entrenched in both the North and the South.  In a paper prepared for President Johnson's Conference on  Pettigrew charged that "many Southern cities are  openly striving to emulate the Northern de facto segregation .  increasingly segregated housing patterns have combined with policy of neighborhood schools to foster segregated education on centers throughout the country, Pettigrew declared.  "As segregation of schools slow- de facto segregation by increasing," he said.  normal processes of urban -continuing in-migra- Negroes to the Central city  migration of whites to the -lead to much the same  without conscious plan.   Pettigrew said.  "In some  Central city is beginning  of white children in its  schools."  pointed out that schools  segregated for any rea- contribute to "the enor- the educational hiatus now  between Negro and white ."  whites," he declared, "re- interest in the educa- Negroes, only when Negroes  in the same schools with  large numbers of .