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A256362 Numbers that are multiple-digit narcissistic numbers in exactly three bases. 8
125, 325, 370, 793, 845, 1125, 1445, 2080, 2125, 2925, 3125, 3200, 3725, 3757, 5050, 5265, 6125, 6250, 6845, 7605, 8125, 8405, 10125, 10261, 10440, 10625, 11250, 13005, 13690, 14365, 15125, 15925, 18785, 22100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Tim Johannes Ohrtmann, Table of n, a(n) for n = 1..445

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

Eric Weisstein's World of Mathematics, Narcissistic Number

Wikipedia, Narcissistic number

EXAMPLE

a(1) = 125 because this is the first number that is a multiple-digit narcissistic number in exactly three bases (12, 23 and 57).

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==3, print1(n, ", ")))

CROSSREFS

Cf. A005188.

Cf. A256359 (every number of bases).

Cf. A256360, A256361, A256363, A256364, A256365 (1, 2, 4, 5 and 6 bases).

Cf. A256459 (first occurrences).

Sequence in context: A338469 A253226 A223182 * A175486 A250579 A161855

Adjacent sequences:  A256359 A256360 A256361 * A256363 A256364 A256365

KEYWORD

nonn,base

AUTHOR

Tim Johannes Ohrtmann, Mar 26 2015

STATUS

approved

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Last modified October 5 20:00 EDT 2022. Contains 357261 sequences. (Running on oeis4.)