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 1-3 of 3 results.

A113586 Indices of terms of A113585 such that n divides A113585(n).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 22, 30, 33, 40, 44, 50, 55, 60, 66, 70, 75, 77, 80, 88, 90, 99, 100, 101, 110, 111, 200, 202, 220, 222, 300, 303, 330, 333, 387, 400, 404, 440, 444, 500, 505, 550, 555, 600, 606, 660, 666, 700, 707, 750, 770, 777, 800, 808, 869
Offset: 1

Views

Author

Amarnath Murthy, Nov 07 2005

Keywords

Examples

			10 is a term as 10 divides 110.
		

Crossrefs

Programs

  • Maple
    A113585 := proc(n) local digs,i,d ; digs := sort(convert(n,base,10)) ; d := nops(digs) ; add( op(i,digs)*(10^(2*d-i)+10^(i-1)),i=1..nops(digs)) ; end: isA113586 := proc(n) if A113585(n) mod n = 0 then true; else false ; fi ; end: for n from 1 to 1000 do if isA113586(n) then printf("%d, ",n) ; fi ; od: # R. J. Mathar, Aug 28 2007

Extensions

More terms from R. J. Mathar, Aug 28 2007

A113587 A113585(A113586(n))/n.

Original entry on oeis.org

11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 101, 11, 101, 11, 101, 11, 101, 11, 101, 11, 101, 11, 77, 101, 11, 101, 11, 101, 11, 110, 101, 1001, 11, 110, 101, 1001, 11, 110, 101, 1001, 979, 11, 110, 101, 1001, 11, 110, 101, 1001, 11, 110, 101, 1001, 11, 110, 77, 101
Offset: 1

Views

Author

Amarnath Murthy, Nov 07 2005

Keywords

Crossrefs

Extensions

More terms from R. J. Mathar, Aug 28 2007

A303572 a(n) = palindrome arising when A228410(n+1) is formed (if there is more than one, use the smallest).

Original entry on oeis.org

101, 10001, 10101, 121, 212, 1221, 12021, 20102, 10201, 12021, 232, 313, 1331, 13031, 30103, 10301, 13031, 343, 414, 1441, 14041, 40104, 14041, 14241, 2442, 12421, 12321, 2332, 13231, 13431, 3443, 13431, 13531, 535, 515, 1551, 15051, 50105, 15051, 15251, 2552, 12521
Offset: 0

Views

Author

N. J. A. Sloane, Apr 27 2018

Keywords

Comments

Let A228410(n) = X, A228410(n+1) = Y. The digits of X and Y can be rearranged to form a palindrome, possibly in several ways; a(n) is the smallest such palindrome.
Numbers with an even number of digits without a digit 0 are in A113585. - David A. Corneth, Apr 28 2018

Crossrefs

Extensions

More terms by David A. Corneth, Apr 27 2018
Showing 1-3 of 3 results.