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 1-2 of 2 results.

A273046 Fibonacci numbers with digits in nonincreasing order.

Original entry on oeis.org

0, 1, 1, 2, 3, 5, 8, 21, 55, 610, 987
Offset: 1

Views

Author

Omar E. Pol, May 13 2016

Keywords

Comments

Presumably there are no more terms in this sequence. - Charles R Greathouse IV, May 17 2016

Crossrefs

Programs

  • Mathematica
    Select[Fibonacci@ Range[0, 10^4], Reverse@ Sort@ # == # &@ IntegerDigits@ # &] (* Michael De Vlieger, May 13 2016 *)
  • PARI
    fibmod(n,m)=lift(((Mod([1,1;1,0],m))^n)[1,2])
    isA009996(n)=my(d=digits(n)); vecsort(d,,4)==d
    B1=10^9;B2=10^57;
    for(n=1,1e9, if(isA009996(fibmod(n,B1)) && isA009996(fibmod(n,B2)) && isA009996(F=fibonacci(n)), print1(F", "))) \\ Charles R Greathouse IV, May 17 2016

A352721 Perfect cubes whose decimal digits appear in nonincreasing order.

Original entry on oeis.org

0, 1, 8, 64, 1000, 8000, 64000, 1000000, 8000000, 64000000, 1000000000, 8000000000, 64000000000, 1000000000000, 8000000000000, 64000000000000, 1000000000000000, 8000000000000000, 64000000000000000, 1000000000000000000, 8000000000000000000, 64000000000000000000
Offset: 1

Views

Author

Antonio Roldán, Mar 30 2022

Keywords

Examples

			64 is in the sequence because it is a perfect cube (64 = 4^3) whose digits appear in nonincreasing order.
		

Crossrefs

Intersection of A000578 and A009996.

Programs

  • Mathematica
    Select[Range[0, 4*10^6]^3, Max@ Differences[IntegerDigits[#]] <= 0 &] (* Amiram Eldar, Mar 30 2022 *)
  • PARI
    ok(n) = digits(n) == vecsort(digits(n),,4) && ispower(n,3)

Formula

a(n) = A004647(n-1)^3.
Showing 1-2 of 2 results.