A256363 Numbers that are multiple-digit narcissistic numbers in exactly four bases.

4901, 8450, 21125, 33125, 41405, 42050, 47125, 71825, 90625, 117325, 142805, 142885, 151250, 184093, 244205, 272000, 325125, 361250, 520625, 535717, 546325, 638450, 690625, 777925, 861125, 874225, 903125, 982125, 990125, 1035125, 1053405

Offset: 1

Author

Tim Johannes Ohrtmann, Mar 26 2015

Keywords

• nonn
• base

Examples

			a(1) = 4901 because this is the first number that is a multiple-digit narcissistic number in exactly four bases (75, 99, 186 and 4831).
		

Links

• W. Schneider, Perfect Digital Invariants: Pluperfect Digital Invariants(PPDIs)
• Eric Weisstein's World of Mathematics, Narcissistic Number
• Wikipedia, Narcissistic number

Crossrefs

Cf. A005188.

Cf. A256359 (every number of bases).

Cf. A256360, A256361, A256362, A256364, A256365 (1, 2, 3, 5 and 6 bases).

Cf. A256459 (first occurrences).

Programs

PARI

for(n=3, 1000000, k=0; for(z=2, n, y=n; j=0; L=List(); until(y==0, x=y%z; j++; listinsert(L, x, j); while(!((y%z)==0), y--); y=y/z); t=0; for(p=1, j, t+=L[p]^j); if(n==t, k++)); if(k==4, print1(n, ", ")))