OFFSET
1,1
COMMENTS
The paper is not yet published - it can be furnished on request.
Sequence of x_n: 0, 3, 12, 39, 66, 795, 1524, 8085, 539526, 1070967, 2665290, ...
The x_n are given by recurrence x_(n+1) = x_n + 3^(s_n - 1), where s_n is the exponent of the highest power of 3 in v_n = x_n^2 + 18, and the a(n) are equal to v_n / 3^s_n.
REFERENCES
A. K. Devaraj, A theorem a la Ramanujan, Joint Meeting of AMS-BENELUX, '96.
PROG
(PARI) lista(nn) = {x = 0; for (i=1, nn, y = x^2 + 18; s = valuation(y, 3); f = z^2 + 18; fx = subst(f, z, x); p3 = valuation (fx, 3); print1(fx/3^p3, ", "); x += 3^(s-1); ); } \\ Michel Marcus, Aug 08 2013
CROSSREFS
KEYWORD
nonn,uned,obsc
AUTHOR
A.K. Devaraj, Feb 14 2010
EXTENSIONS
More terms from Michel Marcus, Aug 08 2013
STATUS
approved