A076790 Interleave digits of Pi and phi-1 (golden section) starting with 3.

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?

Links

Table of n, a(n) for n=1..104.

Example

Pi = 3, 1, 4, 1, 5, 9, 2, ...
phi-1 = 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. A000796, A001622, A001355.

Sequence in context: A325634 A008953 A104611 * A095693 A368569 A032660

Adjacent sequences: A076787 A076788 A076789 * A076791 A076792 A076793

Keyword

base,cons,nonn,less

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