A256365 Numbers that are multiple-digit narcissistic numbers in exactly six bases.

36125, 190125, 444925

Offset

1,1

Links

Table of n, a(n) for n=1..3.

W. Schneider, Perfect Digital Invariants: Pluperfect Digital Invariants(PPDIs)

Eric Weisstein's World of Mathematics, Narcissistic Number

Wikipedia, Narcissistic number

Example

a(1) = 36125 because this is the first number that is a multiple-digit narcissistic number in exactly six bases (193, 212, 327, 423, 1057 and 7187).

Prog

(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==6, print1(n, ", ")))

Crossrefs

Cf. A005188.

Cf. A256359 (every number of bases).

Cf. A256360, A256361, A256362, A256363, A256364 (1 to 5 bases).

Cf. A256459 (first occurrences).

Sequence in context: A097694 A209956 A380850 * A011766 A138556 A236298

Adjacent sequences: A256362 A256363 A256364 * A256366 A256367 A256368

Keyword

nonn,base,bref,more

Author

Tim Johannes Ohrtmann, Mar 30 2015

Status

approved