OFFSET
1,2
REFERENCES
Elena Deza and Michel Marie Deza, Figurate numbers, World Scientific Publishing (2012), pages 60-61.
Martin Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, p. 22.
Harvey J. Hindin, Stars, hexes, triangular numbers and Pythagorean triples, J. Rec. Math., 16 (1983/1984), 191-193.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Paolo Xausa, Table of n, a(n) for n = 1..650
Harvey J. Hindin, Stars, hexes, triangular numbers and Pythagorean triples, J. Rec. Math., 16 (1983/1984), 191-193. (Annotated scanned copy)
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992.
Index entries for linear recurrences with constant coefficients, signature (35,-35,1).
FORMULA
a(n) = 34*a(n-1) - a(n-2) + 4.
G.f.: -x*(x + 1)^2/(x - 1)/(x^2 - 34*x + 1). - Simon Plouffe, see Maple code.
From Charlie Marion, Aug 03 2005: (Start)
E.g.f.: exp(x)*(3*exp(16*x)*(3*cosh(12*sqrt(2)*x) - 2*sqrt(2)*sinh(12*sqrt(2)*x)) - 1)/8 - 1. - Stefano Spezia, Oct 18 2025
MAPLE
A006062:=-(z+1)**2/(z-1)/(z**2-34*z+1); # Simon Plouffe in his 1992 dissertation for offset zero.
MATHEMATICA
LinearRecurrence[{35, -35, 1}, {1, 37, 1261}, 20] (* Paolo Xausa, Sep 02 2024 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jul 11 1991
STATUS
approved