A135598 Decimal expansion of the number whose Pierce expansion has the sequence of Fibonacci numbers (A000045) as coefficients.

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

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)^i/k; print(evalf(a, 100)); od; end: P(100);

Mathematica

RealDigits[N[(Sum[(-1)^n*Product[1/Fibonacci[k], {k, 1, n}], {n, 1, 100}]), 50]][[1]] (* G. C. Greubel, Dec 26 2016 *)

Crossrefs

Cf. A000045, A137991.

Sequence in context: A098141 A175458 A356080 * A244619 A330576 A099506

Adjacent sequences: A135595 A135596 A135597 * A135599 A135600 A135601

Keyword

easy,nonn,cons

Author

Paolo P. Lava and Giorgio Balzarotti, Feb 26 2008

Status

approved