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.

A165742 First differences of A003591.

Original entry on oeis.org

1, 2, 3, 1, 6, 2, 12, 4, 17, 7, 8, 34, 14, 16, 68, 28, 32, 87, 49, 56, 64, 174, 98, 112, 128, 348, 196, 224, 256, 353, 343, 392, 448, 512, 706, 686, 784, 896, 1024, 1412, 1372, 1568, 1792, 2048, 423, 2401, 2744, 3136, 3584, 4096, 846, 4802, 5488, 6272, 7168, 8192, 1692, 9604, 10976, 12544, 14336, 2961, 13423, 3384, 19208
Offset: 1

Views

Author

Mick Purcell (mickpurcell(AT)gmail.com), Sep 25 2009

Keywords

Comments

Conjecturally, the limit infimum is infinite. [Charles R Greathouse IV, Jun 28 2011]

Examples

			For n = 5, the 5th number of the form 2^i*7^j with i, j >= 0 is 8, and the 6th number of the form 2^i*7^j with i, j >= 0 is 14, so the difference is 14 - 8 = 6.
		

Programs

  • PARI
    diff(v)=vector(#v-1,i,v[i+1]-v[i])
    list(lim)=my(v=List(),N);for(n=0,log(lim)\log(7),N=7^n;while(N<=lim,listput(v,N);N<<=1));diff(vecsort(Vec(v))) \\ Charles R Greathouse IV, Jun 28 2011