A355894 - OEIS

A355894

Let A354790(n) = Product_{i >= 1} prime(i)^e(i); then a(n) is the concatenation, in reverse order, of e_1, e_2, ..., ending at the exponent of the largest prime factor of A354790(n); a(1)=0 by convention.

0, 1, 10, 100, 1000, 10000, 11, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 1100, 10001, 100000000000, 100010, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 1000000000000000000, 10000000000000000000

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

The terms of A354790 are squarefree, so here the exponents e_i are 0 or 1.

This bears the same relation to A354790 as A355893 does to A090252.

LINKS

Michael De Vlieger, Table of n, a(n) for n = 0..1051

EXAMPLE

The terms, right-justified, for comparison with A355892 and A355893, are:

1 ...................................0

2 ...................................1

3 ..................................10

4 .................................100

5 ................................1000

6 ...............................10000

7 ..................................11

8 ..............................100000

9 .............................1000000

10 ............................10000000

11 ...........................100000000

12 ..........................1000000000

13 .........................10000000000

14 ................................1100

15 ...............................10001

16 ........................100000000000

17 ..............................100010

18 .......................1000000000000

19 ......................10000000000000

20 .....................100000000000000

21 ....................1000000000000000

22 ...................10000000000000000

23 ..................100000000000000000

24 .................1000000000000000000

...

CROSSREFS

Cf. A090252, A354790, A355893.

Sequence in context: A257969 A125904 A272502 * A276596 A190016 A115796

Adjacent sequences: A355891 A355892 A355893 * A355895 A355896 A355897

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 25 2022

STATUS

approved