cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A177247 Fibonacci numbers Fib(n) whose decimal expansion does not contain any digit 6.

Original entry on oeis.org

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 987, 1597, 2584, 4181, 17711, 75025, 121393, 317811, 514229, 832040, 2178309, 3524578, 5702887, 14930352, 24157817, 102334155, 433494437, 701408733, 1134903170, 2971215073, 7778742049
Offset: 1

Views

Author

Carmine Suriano, May 06 2010

Keywords

Comments

Probability that Fib(n) contains no 6's goes to zero as n grows to infinity. I suppose the maximum number is F(258) having 54 digits with no 6's.

Examples

			a(7)=13 since it is the 7th Fibonacci having no 6's
		

Crossrefs

Programs

  • Mathematica
    Select[Fibonacci[Range[100]],DigitCount[#,10,6]==0&] (* Harvey P. Dale, Aug 26 2023 *)

A177372 Fibonacci numbers whose decimal expansion does not contain any digit 7.

Original entry on oeis.org

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 610, 2584, 4181, 10946, 46368, 121393, 196418, 514229, 832040, 1346269, 14930352, 39088169, 63245986, 102334155, 165580141, 1836311903, 12586269025, 32951280099, 139583862445, 365435296162
Offset: 1

Views

Author

Carmine Suriano, May 07 2010

Keywords

Comments

Probability that Fib(n) contains no digit 7 goes to zero as n grows to infinity. I suppose that the maximum number is Fib(224) having 47 digits.

Examples

			a(14)=610 since it is the 14th Fibonacci containing no 7's.
		

Crossrefs

Programs

  • Mathematica
    Select[Fibonacci[Range[100]],DigitCount[#,10,7]==0&] (* Harvey P. Dale, Dec 13 2014 *)

A177374 Fibonacci numbers whose decimal expansion does not contain any digit 8.

Original entry on oeis.org

1, 1, 2, 3, 5, 13, 21, 34, 55, 144, 233, 377, 610, 1597, 6765, 10946, 17711, 75025, 121393, 514229, 1346269, 9227465, 14930352, 102334155, 267914296, 433494437, 1134903170, 2971215073, 20365011074, 53316291173, 365435296162
Offset: 1

Views

Author

Carmine Suriano, May 07 2010

Keywords

Comments

Probability that Fib(n) contains no 8's goes to zero as n grows to infinity. I suppose that the maximum number is Fib(142) having 30 digits.
The above conjecture is true up through Fib(100,000) which has 20,800 digits. - Harvey P. Dale, Dec 31 2013

Examples

			a(8)=34 since it is the 8th Fibonacci having no 8's
		

Crossrefs

Programs

  • Mathematica
    Select[Fibonacci[Range[100]],DigitCount[#,10,8]==0&] (* Harvey P. Dale, Dec 31 2013 *)

A177376 Fibonacci numbers whose decimal expansion does not contain any digit 9.

Original entry on oeis.org

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 144, 233, 377, 610, 2584, 4181, 6765, 17711, 28657, 46368, 75025, 317811, 832040, 3524578, 5702887, 24157817, 102334155, 165580141, 701408733, 20365011074, 86267571272, 225851433717, 17167680177565
Offset: 1

Views

Author

Carmine Suriano, May 07 2010

Keywords

Comments

The probability that Fib(n) contains no 9's goes to zero as n grows to infinity. It appears that the largest term is F(188). [Corrected by Jon E. Schoenfield, May 08 2010]

Examples

			a(11)=144 since it is the 11th Fibonacci containing no 9's
		

Crossrefs

Programs

  • Mathematica
    Select[Fibonacci[Range[100]],DigitCount[#,10,9]==0&] (* Harvey P. Dale, Jan 22 2014 *)
Showing 1-4 of 4 results.