A128293 a(n) = numerator of b(n): b(1)=1; b(n+1) = b(n) + [b(1);b(2),...,b(n)], where [...] is a continued fraction of rational terms.

1, 2, 7, 79, 4235, 45300517, 309689522673815, 299546552508509354530034070267, 17137006759160419556328886129521887629616818247406307478983

Offset

1,2

Comments

Next term a(10) has roughly 118 digits. - R. J. Mathar, Sep 24 2007

Links

Table of n, a(n) for n=1..9.

Maple

L2cfrac := proc(L) local a, i; a := op(-1, L) ; for i from 2 to nops(L) do a := op(-i, L)+1/a ; od: RETURN(a) ; end: A128293 := proc() local b, n, bnxt; b := [1] ; for n from 2 to 10 do bnxt := op(-1, b)+L2cfrac(b) ; b := [op(b), bnxt] ; od: [seq( numer(b[i]), i=1..nops(b))] ; end: A128293() ; # R. J. Mathar, Sep 24 2007

Crossrefs

Cf. A128294.

Sequence in context: A304980 A059406 A042791 * A354426 A307291 A326262

Adjacent sequences: A128290 A128291 A128292 * A128294 A128295 A128296

Keyword

frac,nonn

Author

Leroy Quet, Feb 25 2007

Extensions

Corrected and extended by R. J. Mathar, Sep 24 2007

Status

approved