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A135598
Decimal expansion of the number whose Pierce expansion has the sequence of Fibonacci numbers (A000045) as coefficients.
2
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
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
Sequence in context: A098141 A175458 A356080 * A244619 A330576 A099506
KEYWORD
easy,nonn,cons
AUTHOR
STATUS
approved