A256360 Numbers that are multiple-digit narcissistic numbers in exactly one base.

5, 8, 10, 13, 18, 20, 25, 26, 32, 35, 37, 40, 41, 43, 52, 53, 55, 58, 61, 62, 65, 68, 72, 80, 82, 83, 90, 92, 97, 98, 99, 101, 104, 109, 113, 117, 118, 122, 127, 128, 134, 146, 148, 152, 162, 170, 173, 178, 180, 181, 185, 190, 197, 205, 221, 225

Offset

1,1

Comments

See A258273 for the corresponding bases.

Links

Tim Johannes Ohrtmann, Table of n, a(n) for n = 1..49479

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

Eric Weisstein's World of Mathematics, Narcissistic Number

Wikipedia, Narcissistic number

Example

a(1) = 5 because this is the first number that is a multiple-digit narcissistic number in exactly one base (3).

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==1, print1(n, ", ")))

Crossrefs

Cf. A005188.

Cf. A256359 (every number of bases).

Cf. A256361, A256362, A256363, A256364, A256365 (2 to 6 bases).

Cf. A256459 (first occurrences).

Sequence in context: A022158 A032717 A361300 * A205676 A352676 A098594

Adjacent sequences: A256357 A256358 A256359 * A256361 A256362 A256363

Keyword

nonn,base

Author

Tim Johannes Ohrtmann, Mar 26 2015

Status

approved