A256364 Numbers that are multiple-digit narcissistic numbers in exactly five bases.

274625, 465125, 528125, 710645, 912925, 983125

Offset

1,1

Links

Table of n, a(n) for n=1..6.

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

Eric Weisstein's World of Mathematics, Narcissistic Number

Wikipedia, Narcissistic number

Example

a(1) = 274625 because this is the first number that is a multiple-digit narcissistic number in exactly five bases (528, 603, 1318, 1958 and 4217).

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==5, print1(n, ", ")))

Crossrefs

Cf. A005188.

Cf. A256359 (every number of bases).

Cf. A256360, A256361, A256362, A256363, A256365 (1 to 4 and 6 bases).

Cf. A256459 (first occurrences).

Sequence in context: A098786 A351332 A235300 * A250509 A164520 A274351

Adjacent sequences: A256361 A256362 A256363 * A256365 A256366 A256367

Keyword

nonn,base,more

Author

Tim Johannes Ohrtmann, Mar 30 2015

Status

approved