

A001510


From a slowly converging series.
(Formerly M1301 N0499)


0




OFFSET

0,2


REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=0..8.
A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fib. Quart., 11 (1973), 429437.
H. E. Salzer, The approximation of numbers as sums of reciprocals, Amer. Math. Monthly, 54 (1947), 135142.
Index entries for sequences of form a(n+1)=a(n)^2 + ...


FORMULA

Apparently a(n+2) = A002715(2*n) + 1.  R. J. Mathar, Apr 23 2007


MATHEMATICA

(* a5 = A002715 *) a5[n_?OddQ] := a5[n] = 2*a5[n1] + 1; a5[n_?EvenQ] := a5[n] = (a5[n1]^2  3)/2; a5[0] = 3; a[n_] := a5[2*n  4] + 1; a[0] = 1; a[1] = 2; Table[a[n], {n, 0, 8}] (* JeanFrançois Alcover, Jan 25 2013, after R. J. Mathar *)


CROSSREFS

Sequence in context: A296787 A128299 A143672 * A103099 A266495 A119029
Adjacent sequences: A001507 A001508 A001509 * A001511 A001512 A001513


KEYWORD

nonn,nice


AUTHOR

N. J. A. Sloane.


STATUS

approved



