OFFSET
0,1
COMMENTS
Certainly by term n = 8*(2^119 - 1) = 10^36.72..., this sequence and A103747 disagree.
The point of divergence is substantially earlier, described precisely by Charlie Neder in his Feb 2019 comment in A103747. - Peter Munn, Jan 14 2024
LINKS
David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1).
FORMULA
a(n) = a(n-1) + a(n-16) - a(n-17). - R. J. Mathar, Jul 21 2013
G.f.: (2 + 4*x + 4*x^2 + 4*x^3 + 4*x^4 + 4*x^5 + 4*x^6 + 4*x^7 + 4*x^8 + 4*x^9 + 4*x^10 + 4*x^11 + 4*x^12 + 4*x^13 + 4*x^14 + 68*x^15 + 2*x^16 ) / ( (1+x) *(x^2+1) *(x^4+1) *(x^8+1) *(x-1)^2 ). - R. J. Mathar, Jul 21 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Philippe Deléham, Nov 13 2007, Mar 29 2009
STATUS
approved