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A138130
Powers of 1729, the Hardy-Ramanujan number.
1
1, 1729, 2989441, 5168743489, 8936757492481, 15451653704499649, 26715909255079893121, 46191807102033135206209, 79865634479415290771535361, 138087682014909037743984639169, 238753602203777726259349441123201, 412804978210331688702415183702014529
OFFSET
0,2
COMMENTS
About 1729: "No," said Ramanujan, "It is a very interesting number..."
REFERENCES
David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1997, p. 153.
FORMULA
a(n) = 1729^n.
From Chai Wah Wu, Jan 19 2021: (Start)
a(n) = 1729*a(n-1) for n > 0.
G.f.: 1/(1 - 1729*x). (End)
From Elmo R. Oliveira, Jun 23 2025: (Start)
E.g.f.: exp(1729*x).
a(n) = A000420(n)*A001022(n)*A001029(n). (End)
MATHEMATICA
1729^Range[0, 9] (* Alonso del Arte, Oct 18 2014 *)
PROG
(PARI) a(n)=1729^n \\ Charles R Greathouse IV, Jan 20 2014
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Mar 09 2008
STATUS
approved