OFFSET
1,1
COMMENTS
Previous name was: Taxi-cab numbers of form n^3*1729; in other words, taxi-cab numbers of form n^3*A001235(1).
LINKS
Sergey Pavlov, Table of n, a(n) for n = 1..303.
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
FORMULA
a(n) = n^3 * 1729.
From Chai Wah Wu, Jan 19 2021: (Start)
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4.
G.f.: x*(1729*x^2 + 6916*x + 1729)/(x - 1)^4. (End)
E.g.f.: 1729*exp(x)*x*(1 + 3*x + x^2). - Stefano Spezia, Apr 05 2025
From Alois P. Heinz, Apr 05 2025: (Start)
EXAMPLE
For n = 11, a(11) = 11^3 * 1729 = 2301299 and a(11) = A001235(67).
MATHEMATICA
Array[1729 #^3 &, 30] (* Michael De Vlieger, Mar 04 2017 *)
PROG
(PARI) vector(30, n, 1729*n^3) \\ Derek Orr, Mar 05 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Sergey Pavlov, Mar 03 2017
EXTENSIONS
New name from Joerg Arndt, Mar 04 2017
More terms from Sergey Pavlov, Mar 04 2017
STATUS
approved