A329292 -id:A329292 - cp's OEIS frontend

A329291 Ratio A101337(m)/m for m = A306360(n), numbers dividing the value of their narcissistic function.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 7, 2, 1, 1, 1, 5, 4, 4, 1, 1, 3, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 4, 1, 1, 3, 2, 1, 4, 1, 1, 1, 4, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

M. F. Hasler, Nov 17 2019

A101337 (sum of digits raised to power A055642(n) = #digits(n)) is sometimes called the narcissistic function for base 10.

This sequence has the same finite number of elements as A306360.

Cf. A101337, A306360, A329292 (least index i with a(i) = n = 1, 2, 3...).

PARI
```
A329291=[A101337(m)/m|m<-A306360]
```

a(n) = A101337(A306360(n))/A306360(n).

a(108)-a(109) from Giovanni Resta, Nov 18 2019

A329659 Largest number m > 0 such that A101337(m)/m = n, or 0 if no such m exists.

Original entry on oeis.org

115132219018763992565095597973971522401, 13384899942524140745922870, 18935132531699388, 2098649524599800996, 119564, 0, 13598

Offset: 1

Chai Wah Wu, Nov 18 2019

Cf. A101337, A329292, A306360.

cp's OEIS Frontend

A329291 Ratio A101337(m)/m for m = A306360(n), numbers dividing the value of their narcissistic function.

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A329659 Largest number m > 0 such that A101337(m)/m = n, or 0 if no such m exists.

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