(Translated by https://www.hiragana.jp/)
A062457 - OEIS
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A062457
a(n) = prime(n)^n.
52
2, 9, 125, 2401, 161051, 4826809, 410338673, 16983563041, 1801152661463, 420707233300201, 25408476896404831, 6582952005840035281, 925103102315013629321, 73885357344138503765449, 12063348350820368238715343, 3876269050118516845397872321
OFFSET
1,1
COMMENTS
Heinz numbers of square integer partitions, where the Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). - Gus Wiseman, Apr 14 2018
Main diagonal of A182944. - Omar E. Pol, Sep 12 2018
Second diagonal of A319075. - Omar E. Pol, Sep 13 2018
FORMULA
a(n) = A062006(n) - 1. - Wesley Ivan Hurt, Jan 18 2016
From Amiram Eldar, Nov 16 2020: (Start)
Sum_{n>=1} 1/a(n) = A093358.
Sum_{n>=1} (-1)^(n+1)/a(n) = A201614. (End)
MAPLE
A062457:=n->ithprime(n)^n: seq(A062457(n), n=1..20); # Wesley Ivan Hurt, Jan 18 2016
MATHEMATICA
Table[Prime[n]^n, {n, 20}] (* Harvey P. Dale, Jun 22 2011 *)
PROG
(PARI) a(n) = prime(n)^n; \\ Harry J. Smith, Aug 07 2009
(Magma) [NthPrime(n)^n : n in [1..20]]; // Wesley Ivan Hurt, Jan 18 2016
KEYWORD
easy,nonn
AUTHOR
Labos Elemer, Jul 09 2001
STATUS
approved