A138129 Multiples of 1729, the Hardy-Ramanujan number.
0, 1729, 3458, 5187, 6916, 8645, 10374, 12103, 13832, 15561, 17290, 19019, 20748, 22477, 24206, 25935, 27664, 29393, 31122, 32851, 34580, 36309, 38038, 39767, 41496, 43225, 44954, 46683, 48412, 50141, 51870, 53599, 55328, 57057, 58786, 60515, 62244, 63973, 65702, 67431
Offset: 0
References
- David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1997, p. 153.
Links
- Index entries for linear recurrences with constant coefficients, signature (2,-1).
Programs
-
Mathematica
1729Range[0, 37] (* Alonso del Arte, Feb 19 2015 *)
-
PARI
a(n)=1729*n \\ Charles R Greathouse IV, Feb 21 2015
-
PARI
concat(0, Vec(1729*x/(1-x)^2 + O(x^40))) \\ Elmo R. Oliveira, Jun 23 2025
Formula
a(n) = 1729*n.
From Elmo R. Oliveira, Jun 23 2025: (Start)
G.f.: 1729*x/(1-x)^2.
E.g.f.: 1729*x*exp(x).
a(n) = 91*A008601(n).
a(n) = 2*a(n-1) - a(n-2). (End)
Extensions
More terms from Elmo R. Oliveira, Jun 23 2025
Comments