A076842 - OEIS

A076842

Numerators of sequence of fractions defined by a(1) = a(2) = 1; for n > 2, a(n) = (a(n-1)+a(n-2)+1)/a(n-2).

1, 1, 3, 5, 3, 9, 29, 71, 751, 5095, 117707, 8786157, 1495204807, 869159527657, 10563805576326283, 3058448407404141530011, 21945047981309619478239602921, 78849616271246494204031567399858651677, 163732240861295155285004461265839986271194799721161

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..19.

EXAMPLE

1, 1, 3, 5, 3, 9/5, 29/15, 71/27, 751/261, 5095/2059, 117707/53321, ...

MAPLE

a := 1; b := 1; f := proc(n) option remember; global a, b; if n=1 then RETURN(a); fi; if n=2 then RETURN(b); fi; RETURN((f(n-1)+f(n-2)+1)/f(n-2)); end;

CROSSREFS

Cf. A076843, A076844.

Sequence in context: A186203 A002633 A070554 * A077862 A134061 A336872

Adjacent sequences: A076839 A076840 A076841 * A076843 A076844 A076845

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane, Nov 21 2002

STATUS

approved