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.

A147975 a(n) = 4^n-3^n-2^n-1.

Original entry on oeis.org

-2, -2, 2, 28, 158, 748, 3302, 14068, 58718, 241948, 988502, 4015108, 16241678, 65506348, 263636102, 1059360148, 4251855038, 17050597948, 68331794102, 273715121188, 1096023794798, 4387584060748, 17560800790502, 70274592610228
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

Keywords

Links

Crossrefs

Cf. A147976, A147977, A147978, A147979.

Programs

  • Mathematica
    lst={};Do[p=4^n-3^n-2^n-1^n;AppendTo[lst,p],{n,0,5!}];lst
LinearRecurrence[{10,-35,50,-24},{-2,-2,2,28},40] (* Harvey P. Dale, Nov 08 2016 *)
  • PARI
    a(n)=4^n-3^n-2^n-1 \\ Charles R Greathouse IV, Oct 07 2015

Formula

G.f.: 2*x*(19*x^3-24*x^2+9*x-1)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)). - Colin Barker, Oct 29 2012

A147979 a(n) = 8^n-7^n-6^n-5^n-4^n-3^n-2^n-1.

Original entry on oeis.org

-6, -20, -76, -272, -580, 3760, 77324, 896848, 8869820, 81550960, 719926124, 6196609168, 52439953820, 438516694960, 3635082523724, 29935019892688, 245264010263420, 2001462391659760, 16280541150478124, 132087583623451408
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

Keywords

Links

Crossrefs

Cf. A147975, A147976, A147977, A147978.

Programs

  • Mathematica
    lst={};Do[p=8^n-7^n-6^n-5^n-4^n-3^n-2^n-1^n;AppendTo[lst,p],{n,0,5!}];lst
Table[8^n-Total[Range[7]^n],{n,0,20}] (* or *) LinearRecurrence[{36,-546,4536,-22449,67284,-118124,109584,-40320},{-6,-20,-76,-272,-580,3760,77324,896848},20] (* Harvey P. Dale, Nov 15 2014 *)
  • PARI
    a(n)=8^n-7^n-6^n-5^n-4^n-3^n-2^n-1 \\ Charles R Greathouse IV, Oct 07 2015

Formula

G.f.: 2*x*(49752*x^7-105056*x^6+87794*x^5-38129*x^4+9380*x^3-1316*x^2+98*x-3)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)*(7*x-1)*(8*x-1)). - Colin Barker, Oct 29 2012

A147977 a(n) = 6^n-5^n-4^n-3^n-2^n-1.

Original entry on oeis.org

-4, -9, -19, -9, 317, 3351, 26141, 183111, 1216637, 7842231, 49591901, 309595431, 1915328957, 11771279511, 71987413661, 438579282951, 2664183937277, 16146410851191, 97676152243421, 590010212989671, 3559688008961597
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

Keywords

Links

Crossrefs

Cf. A147975, A147976, A147978, A147979.

Programs

  • Mathematica
    lst={};Do[p=6^n-5^n-4^n-3^n-2^n-1^n;AppendTo[lst,p],{n,0,5!}];lst
Table[6^n-5^n-4^n-3^n-2^n-1,{n,0,20}] (* or *) LinearRecurrence[{21,-175,735,-1624,1764,-720},{-4,-9,-19,-9,317,3351},30] (* Harvey P. Dale, Jan 17 2017 *)

Formula

G.f.: x*(1524*x^5-2700*x^4+1755*x^3-530*x^2+75*x-4)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)). [Colin Barker, Oct 29 2012]

A147978 a(n) = 7^n-6^n-5^n-4^n-3^n-2^n-1.

Original entry on oeis.org

-5, -14, -42, -98, 126, 4606, 50478, 446782, 3622206, 28040446, 211134798, 1561328062, 11403051486, 82538901886, 593482158318, 4245770823742, 30254894691966, 214923605948926, 1522969836817038, 10770185918341822
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

Keywords

Links

Crossrefs

Cf. A147975, A147976, A147977, A147979.

Programs

  • Mathematica
    lst={};Do[p=7^n-6^n-5^n-4^n-3^n-2^n-1^n;AppendTo[lst,p],{n,0,5!}];lst

Formula

G.f.: x*(11628*x^6-22736*x^5+17059*x^4-6370*x^3+1260*x^2-126*x+5)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)*(7*x-1)). - Colin Barker, Oct 29 2012
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.