OFFSET
0,2
COMMENTS
If a(k) = 100*u+10*v+w with 0 <= u, v, w < 10, then 100*v+10*w+u is also a term.
Numbers for which the sum of "digits" base 1000 is divisible by 37, since 999 = 3^3 * 37. For instance, 10089601558 gives 10 + 089 + 601 + 558 = 1258, 1 + 258 = 259 = 7 * 37. - Daniel Forgues, Feb 22 2016
REFERENCES
David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, 1986.
LINKS
Tanya Khovanova, Recursive Sequences
Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.
Index entries for linear recurrences with constant coefficients, signature (2, -1).
FORMULA
a(n) = a(n-1)+37; a(0)=0.
G.f.: 37*x/(1-x)^2. - Vincenzo Librandi, Feb 23 2016
MATHEMATICA
Range[0, 2000, 37] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)
CoefficientList[Series[37 x / (1 - x)^2, {x, 0, 33}], x] (* Vincenzo Librandi, Feb 23 2016 *)
PROG
(Magma) [37*n: n in [0..50]]; // Vincenzo Librandi, Feb 23 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Reinhard Zumkeller, Aug 17 2003
STATUS
approved