OFFSET

1,1

COMMENTS

"Conceited Numbers" (they are full of themselves).

The decimal representation of these numbers can be formed typographically from their prime factors. Every distinct prime factor must appear at least once. Generalization of the sequence A083359.

Subsequences:

--No overlap: A324258

--Every prime factor appears in number (not just distinct prime factors): A324259

--No multiplicity: A324260

--Multiplicity only up to the exponent of the distinct prime factor: A083359

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..302 (first 103 terms from Deron Stewart)

EXAMPLE

67335 = 3*5*67^2 formed by 67||3|||3||5 (this term is not in A083359 because two 3's are required in the concatenation).

3719193 = 3*19*71*919 formed by 3||71||9(19)||3 where 19 and 919 overlap.

CROSSREFS

KEYWORD

nonn,base

AUTHOR

Deron Stewart, Feb 19 2019

STATUS

approved