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 1-6 of 6 results.

A048559 a(n+1) is next smallest nontrivial square beginning with a(n), initial square is 4.

Original entry on oeis.org

4, 49, 49284, 4928461209, 492846120914204828164, 4928461209142048281644440027571600000000001, 49284612091420482816444400275716000000000017667716927194638935286982918857620344809476
Offset: 0

Views

Author

Patrick De Geest, May 15 1999

Keywords

Comments

Next terms are 171, 342 and 685 digits long.

Crossrefs

Cf. A048560.
Cf. A048557, A249893, A249894, A249895, A249896, A249897, A249898, A048561.

A048561 a(n+1) is next smallest nontrivial square beginning with a(n), initial square is 9.

Original entry on oeis.org

9, 961, 9616201, 961620162020001, 9616201620200016202000200000001, 96162016202000162020002000000018891984632653500321758097698025
Offset: 0

Views

Author

Patrick De Geest, May 15 1999

Keywords

Comments

Next terms are 125, 251, 502 and 1003 digits long.

Crossrefs

Cf. A048562.
Cf. A048557, A249893, A249894, A048559, A249895, A249896, A249897, A249898.

A050634 a(n+1) is next smallest square ending with a(n), initial term is 1.

Original entry on oeis.org

1, 81, 1681, 1461681, 220861461681, 31071113326220861461681, 36510705834446371569631071113326220861461681, 268496773864458678522722709023395604054900436510705834446371569631071113326220861461681
Offset: 1

Views

Author

Patrick De Geest, Jul 15 1999

Keywords

Crossrefs

Cf. A050635, A048557, A050628.

Programs

  • Mathematica
    d[n_]:=IntegerDigits[n]; t={m=1}; Do[If[Take[d[x=n^2],-Length[y=d[m]]]==y,AppendTo[t,m=x]],{n,Flatten[Table[10k+{-1,1},{k,50000}]]}]; t (* Jayanta Basu, May 30 2013 *)

Extensions

More terms from Jonathan Cross (jcross(AT)wcox.com), Oct 09 2001

A061110 a(1) = 1; a(n) = smallest number such that the concatenation a(1)a(2)...a(n) is a square.

Original entry on oeis.org

1, 6, 9, 744, 41796, 60172924176, 8240010144800000000001, 82400101448000000000020000000000000000000001
Offset: 1

Views

Author

Amarnath Murthy, Apr 20 2001

Keywords

Comments

The next term is too large to include.
a(n) is at most doubly exponential in n. Is there also a double exponential lower bound? - Charles R Greathouse IV, Sep 19 2012

Examples

			a(1) = 1, a(1)a(2) = 16 = 4^2, a(1)a(2)a(3) = 169 = 13^2, 169744 = 412^2.

Links

Crossrefs

Cf. A061109, A051671. The actual squares are in A048557.

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jul 23 2001

A048558 a(n+1)^2 is next smallest nontrivial square beginning with a(n)^2, initial square is 1.

Original entry on oeis.org

1, 4, 13, 412, 130286, 41200050724, 4120005072400000000001, 41200050724000000000010000000000000000000001, 4120005072400000000001000000000000000000000100000000000000000000000000000000000000000001
Offset: 0

Views

Author

Patrick De Geest, May 15 1999

Keywords

Comments

Next terms are 176 and 351 digits long.

Crossrefs

Cf. A048557.

A050628 a(1) = 1; a(n+1) is next smallest nontrivial square containing a(n) as a substring.

Original entry on oeis.org

1, 16, 169, 56169, 36156169, 13361561690409, 42133615616904090751725289
Offset: 1

Views

Author

Patrick De Geest, Jul 15 1999

Keywords

Crossrefs

Cf. A050629, A048557, A050630, A050632, A050634.

Formula

a(n) = A050629(n)^2.

Extensions

a(7) from Max Alekseyev, Feb 15 2012
Showing 1-6 of 6 results.

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

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