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.

A048442 Take the first n numbers written in base 11, concatenate them, then convert from base 11 to base 10.

Original entry on oeis.org

1, 13, 146, 1610, 17715, 194871, 2143588, 23579476, 259374245, 2853116705, 345227121316, 41772481679248, 5054470283189021, 611590904265871555, 74002499416170458170, 8954302429356625438586, 1083470593952151678068923, 131099941868210353046339701
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			a(11) = (1)(2)(3)(4)(5)(6)(7)(8)(9)(A)(10) = 123456789A10_11 = 345227121316.
		

Crossrefs

Cf. A014881.
Concatenation of first n numbers in other bases: 2: A047778, 3: A048435, 4: A048436, 5: A048437, 6: A048438, 7: A048439, 8: A048440, 9: A048441, 10: A007908, 11: this sequence, 12: A048443, 13: A048444, 14: A048445, 15: A048446, 16: A048447.

Programs

  • Magma
    [n eq 1 select 1 else Self(n-1) * 11^(1+Ilog(11, n)) + n: n in [1..20]]; // Vincenzo Librandi, Dec 30 2012
  • Mathematica
    If[STARTPOINT==1, n={}, n=Flatten[IntegerDigits[Range[STARTPOINT-1], 11]]]; Table[AppendTo[n, IntegerDigits[w, 11]]; n=Flatten[n]; FromDigits[n, 11], {w, STARTPOINT, ENDPOINT}] (* Dylan Hamilton, Aug 11 2010 *)
    f[n_]:= FromDigits[Flatten@IntegerDigits[Range@n, 11], 11]; Array[f, 20] (* Vincenzo Librandi, Dec 30 2012 *)
  • PARI
    { cuo=0;
    for(ixp=1, 18, casi = ixp; cvst=0;
    while(casi != 0,
    cvd = casi%11; cvst=100*cvst + cvd + 1; casi = (casi - cvd) / 11 );
    while(cvst !=0, ptch = cvst%100;
    cuo=cuo*11+ptch-1; cvst = (cvst - ptch) / 100 ); print1(cuo, ", "))}
    \\ Douglas Latimer, May 09 2012
    

Extensions

1 more term from Douglas Latimer, May 10 2012

A014858 Numbers k that divide s(k), where s(1)=1, s(j)=11*s(j-1)+j.

Original entry on oeis.org

1, 5, 11, 25, 55, 125, 275, 625, 1375, 3125, 6875, 15625, 16105, 34375, 75025, 78125, 80525, 171875, 173767, 177155, 375125, 390625, 402625, 603775, 825275, 859375, 868835, 885775, 1391555, 1875625, 1953125, 2013125, 2153855, 3018875, 4126375, 4296875, 4344175
Offset: 1

Views

Author

Keywords

Crossrefs

s(n) = A014881(n).

Programs

  • Mathematica
    nxt[{n_,s_}]:={n+1,11s+n+1}; Transpose[Select[NestList[nxt,{1,1},3000000],Divisible[Last[#],First[#]]&]][[1]] (* Harvey P. Dale, Aug 21 2013 *)
  • PARI
    lista(nn) = my(s); for(k=1, nn, s=11*s+k; if(s%k==0, print1(k, ", "))); \\ Jinyuan Wang, Aug 08 2021

Extensions

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jan 30 2001
More terms from Jinyuan Wang, Aug 08 2021
Showing 1-2 of 2 results.