A137991 Decimal expansion of the inverse of the number whose Engel expansion has the sequence of Fibonacci numbers (A000045) as coefficients.

3, 6, 9, 7, 5, 3, 7, 1, 7, 1, 4, 8, 0, 8, 9, 0, 9, 6, 5, 4, 5, 2, 9, 4, 7, 8, 8, 9, 3, 2, 9, 1, 2, 0, 8, 6, 2, 0, 4, 7, 6, 0, 7, 3, 5, 8, 0, 7, 6, 3, 4, 9, 4, 9, 9, 5, 7, 3, 5, 9, 7, 2, 8, 4, 6, 8, 6, 5, 2, 8, 4, 0, 3, 4, 5, 3, 1, 9, 2, 8, 6, 0, 7, 7, 2, 3, 9, 7, 5, 1, 0, 0, 3, 0, 0, 7, 2, 6, 8

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..2500

Eric Weisstein's World of Mathematics, Pierce Expansion.

Eric Weisstein's World of Mathematics, Engel Expansion.

Maple

with (combinat, fibonacci); P:=proc(n) local a, i, k; a:=0; k:=1; for i from 1 by 1 to n do k:=k*fibonacci(i); a:=a+1/k; print(evalf(1/a, 100)); od; end: P(100);

Mathematica

RealDigits[N[1/(Sum[Product[1/Fibonacci[k], {k, 1, n}], {n, 1, 1000}]),
100]][[1]] (* G. C. Greubel, Dec 26 2016 *)

Crossrefs

Cf. A000045, A101689 (reciprocal), A137987.

Sequence in context: A321943 A351189 A187082 * A021077 A114041 A212712

Adjacent sequences: A137988 A137989 A137990 * A137992 A137993 A137994

Keyword

easy,nonn,cons

Author

Paolo P. Lava and Giorgio Balzarotti, Feb 26 2008

Status

approved