A095715 Triangle of numbers obtained by reversing the first n digits of 1/phi and juxtaposing (phi denotes the golden ratio: A001622).

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Paul Cooijmans, Numbers, Item 16.

Paul Cooijmans, Short Test For Genius, Item 32.

Example

Triangle begins:
  0;
  6,0;
  1,6,0;
  8,1,6,0;
  0,8,1,6,0;
  3,0,8,1,6,0;
  3,3,0,8,1,6,0;
  9,3,3,0,8,1,6,0;
  ... (reverse order of 0; 0.6; 0.61; 0.618; 0.6180; 0.61803; 0.618033; 0.6180339;...)

Prog

(PARI) a(n)=if(n<1, 0, default(realprecision, n+2); floor((-1/2+sqrt(5)/2)*10^(n-1))%10);
b(n)=1+binomial(1+floor(1/2+sqrt(2*n)), 2)-n;
for(n=1, 120, print1(a(b(n))", "))

Crossrefs

Cf. A094214.

Cf. A095713.

Sequence in context: A049248 A178601 A094691 * A321215 A141108 A019846

Adjacent sequences: A095712 A095713 A095714 * A095716 A095717 A095718

Keyword

base,easy,nonn,tabl

Author

Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 07 2004

Status

approved