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A076790
Merge digits of Pi and Phi (golden section) starting with 3.
1
3, 6, 1, 1, 4, 8, 1, 0, 5, 3, 9, 3, 2, 9, 6, 8, 5, 8, 3, 7, 5, 4, 8, 9, 9, 8, 7, 9, 9, 4, 3, 8, 2, 4, 3, 8, 8, 2, 4, 0, 6, 4, 2, 5, 6, 8, 4, 6, 3, 8, 3, 3, 8, 4, 3, 3, 2, 6, 7, 5, 9, 6, 5, 3, 0, 8, 2, 1, 8, 1, 8, 7, 4, 7, 1, 2, 9, 0, 7, 3, 1, 0, 6, 9, 9, 1, 3, 7, 9, 9, 9, 8, 3, 0, 7, 5, 5, 7, 1, 6, 0, 2, 5, 8
OFFSET
1,1
COMMENTS
Is the real number 3.611381... irrational? Transcendental?
EXAMPLE
Pi = 3, 1, 4, 1, 5, 9, 2, ...
Phi = 6, 1, 8, 0, 3, 3, 9, ...
so we get 3, 6, 1, 1, 4, 8, 1, ... [corrected by Jesse Fiedler, Aug 22 2019]
MATHEMATICA
Riffle[ RealDigits[ Pi, 10, 55][[1]], RealDigits[ GoldenRatio - 1, 10, 55][[1]], 2] (* Robert G. Wilson v, Mar 19 2014 *)
PROG
(PARI) \\ piphi alternating between Pi and Phi digit sequence
\\ piphi.gp Pi and phi digits merged
{ piphi(n) = default(realprecision, 10000); p = Pi/10; e = (sqrt(5)-1)/2; default(realprecision, 28); forstep(x=1, n, 2, d = p*10; d1=floor(d); p = frac(d); d2 = e*10; d3 = floor(d2); e = frac(d2); print1(d1" "d3" "); ); }
CROSSREFS
Cf. A058382.
Sequence in context: A325634 A008953 A104611 * A095693 A368569 A032660
KEYWORD
base,cons,nonn
AUTHOR
Cino Hilliard, Nov 16 2002
EXTENSIONS
More terms from Robert G. Wilson v, Mar 19 2014
Offset changed by Alois P. Heinz, Aug 22 2024
STATUS
approved