OFFSET
1,2
COMMENTS
For all n there exist b(n) and e(n) such that: a(n)=b(n)^e(n) and b(n)+e(n)=2*n, see example.
LINKS
Reinhard Zumkeller, Table of n, a(n) for n = 1..400
FORMULA
a(n) = A247358(2*n-1,n).
EXAMPLE
. n | a(n) | b(n)^e(n) | b(n)+e(n)
. ----+-------------+-----------+----------
. 1 | 1 | 1^1 | 2
. 2 | 3 | 3^1 | 4
. 3 | 16 | 2^4 | 6
. 4 | 64 | 2^6 | 8
. 5 | 343 | 7^3 | 10
. 6 | 4096 | 8^4 | 12
. 7 | 59049 | 9^5 | 14
. 8 | 1000000 | 10^6 | 16
. 9 | 14348907 | 3^15 | 18
. 10 | 129140163 | 3^17 | 20
. 11 | 1475789056 | 14^8 | 22
. 12 | 38443359375 | 15^9 | 24
PROG
(Haskell)
a247363 n = a247358 (2 * n - 1) n
(Python)
def A247363(n):
....return(sorted((b+1)**((2*n-1)-b) for b in range(2*n-1))[n-1])
# Chai Wah Wu, Sep 14 2014
(PARI) row(n) = vecsort(vector(n, k, k^(n-k+1))); \\ A247358
a(n) = row(2*n-1)[n]; \\ Michel Marcus, Jan 24 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Sep 14 2014
STATUS
approved