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 1-10 of 13 results. Next

A061359 a(1) = 1; a(n) = least number such that the concatenation a(n)a(n-1)...a(2)a(1) is a square.

Original entry on oeis.org

1, 8, 16, 146, 22086, 31071113326, 365107058344463715696, 2684967738644586785227227090233956040549004, 809079884187716191997158821357206898310718837487307207657194711477350102495950972665
Offset: 1

Views

Author

Amarnath Murthy, Apr 28 2001

Keywords

Examples

			a(3)a(2)a(1) = 1681 = 41^2, a(4)a(3)a(2)a(1) = 1461681 = 1209^2.

Links

Crossrefs

Cf. A050634, A050635.

Extensions

Corrected and extended by Larry Reeves (larryr(AT)acm.org), May 07 2001
More terms from Ulrich Schimke (ulrschimke(AT)aol.com), Nov 06 2001

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

A065689 a(1) = 0; for n > 1, a(n) is the smallest square > a(n-1) with a(n-1) forming its final digits.

Original entry on oeis.org

0, 100, 8100, 168100, 146168100, 22086146168100, 3107111332622086146168100, 3651070583444637156963107111332622086146168100, 26849677386445867852272270902339560405490043651070583444637156963107111332622086146168100
Offset: 1

Views

Author

Klaus Brockhaus, Nov 17 2001

Keywords

Comments

a(n) = 100*A050634(n-1) for n > 1.

Crossrefs

Cf. A050634, A050635, A061359, A065690, A065691.

A065690 a(1) = 0; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.

Original entry on oeis.org

0, 10, 90, 410, 12090, 4699590, 1762700012090, 60424089429999995300410, 163858711658690481272000000000001762700012090, 284443295612274221167414335130587074570377999999999999999999999939575910570000004699590
Offset: 1

Views

Author

Klaus Brockhaus, Nov 17 2001

Keywords

Comments

a(n) = 10*A050635(n-1) for n > 1; a(n) = sqrt(A065689(n)).

Crossrefs

Cf. A050634, A050635, A061359, A065689, A065691.

A065691 a(1) = 0; for n > 1, a(n) is the smallest integer > 0 such that the concatenation a(n)a(n-1)...a(2)a(1) is a square.

Original entry on oeis.org

0, 10, 8, 16, 146, 22086, 31071113326, 365107058344463715696, 2684967738644586785227227090233956040549004, 809079884187716191997158821357206898310718837487307207657194711477350102495950972665
Offset: 1

Views

Author

Klaus Brockhaus, Nov 17 2001

Keywords

Comments

a(n) = A061359(n-1) for n > 2.

Crossrefs

Cf. A050634, A050635, A061359, A065689, A065690.

A065789 a(1) = 8; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.

Original entry on oeis.org

8, 42, 2458, 310042, 2929997542, 1046218875000310042, 406005268741864709999999997070002458, 50376698115810287966925579573179705000000000000000001046218875000310042
Offset: 1

Views

Author

Klaus Brockhaus, Nov 19 2001

Keywords

Comments

a(n) = A050637(n+1) for n >= 1; a(n) = sqrt(A065788(n)).
Essentially the same as A050637. - Zak Seidov, Mar 12 2012

Crossrefs

Cf. A050635, A050637, A065690, A065788, A065790.

A065777 a(1) = 4; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.

Original entry on oeis.org

4, 46, 2454, 314954, 4492502454, 8866500849999685046, 4716968811408150949999999995507497546, 8302295225692406203256091732061577875000000000000000008866500849999685046
Offset: 1

Views

Author

Klaus Brockhaus, Nov 19 2001

Keywords

Crossrefs

Cf. A050635, A065690, A065776, A065778.

Extensions

More terms from Ulrich Schimke (ulrschimke(AT)aol.com), Dec 18 2001

A065780 a(1) = 5; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.

Original entry on oeis.org

5, 15, 35, 285, 4035, 2660285, 40530004035, 478354453999997339715, 31246194523464509984000000000040530004035, 8209490213224904365731763888026434805200000000000000000000478354453999997339715
Offset: 1

Views

Author

Klaus Brockhaus, Nov 19 2001

Keywords

Crossrefs

Cf. A050635, A065690, A061839, A065781.

Extensions

More terms from Ulrich Schimke (ulrschimke(AT)aol.com), Dec 18 2001

A065783 a(1) = 6; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.

Original entry on oeis.org

6, 44, 2456, 1247544, 214842502456, 29945373749998752456, 7489739829907193749999999785157497544, 2122105977711165946126545050684497624999999999999999970054626250001247544
Offset: 1

Views

Author

Klaus Brockhaus, Nov 19 2001

Keywords

Crossrefs

Cf. A050635, A065690, A065782, A065784.

Extensions

More terms from Ulrich Schimke (ulrschimke(AT)aol.com), Dec 18 2001

A065786 a(1) = 7; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.

Original entry on oeis.org

7, 43, 1293, 154957, 20214998707, 118659019449999845043, 5566692951015284052000000000020214998707, 21637689578064053873124753714430240419600000000000000000000118659019449999845043
Offset: 1

Views

Author

Klaus Brockhaus, Nov 19 2001

Keywords

Comments

a(n) = A050639(n+1) for n >= 1.

Crossrefs

Cf. A050635, A050639, A065690, A065785, A065787.
Showing 1-10 of 13 results. Next

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