A050635 -id:A050635 - cp's OEIS frontend

A065792 a(1) = 9; 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.

9, 41, 1209, 469959, 176270001209, 6042408942999999530041, 16385871165869048127200000000000176270001209, 28444329561227422116741433513058707457037799999999999999999999993957591057000000469959

Offset: 1

Klaus Brockhaus, Nov 19 2001

a(n) = A050635(n+1) for n >= 1; a(n) = sqrt(A065791(n)).

Cf. A050635, A065690, A065791, A065793.

A050629 a(n+1)^2 is next smallest nontrivial square containing a(n)^2 as a substring, initial term is 1.

Original entry on oeis.org

1, 4, 13, 237, 6013, 3655347, 6491041181267

Offset: 1

Patrick De Geest, Jul 15 1999

Cf. A050628, A048558, A050631, A050633, A050635.

a(n) = sqrt(A050628(n)).

a(7) from Max Alekseyev, Feb 15 2012

A065808 Square of n has a smaller square as its final digits.

Original entry on oeis.org

7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 67, 68, 69, 70, 71, 72, 73, 75, 77, 78, 79, 80, 81, 82, 83, 85, 87, 88

Offset: 1

Klaus Brockhaus, Nov 22 2001

Includes all n >= 7 not == 4 or 6 (mod 10). - Robert Israel, Oct 24 2017

Robert Israel, Table of n, a(n) for n = 1..10000

A065807 gives the corresponding squares.

Cf. A065690, A050635, A050637, A050639, A065777, A065780, A065783, A065786, A065789, A065792.

filter:= n ->
  ormap(t -> issqr(n^2 mod 10^t), [$1..ilog10(n^2)]):
select(filter, [$1..100]); # Robert Israel, Oct 24 2017

ds[n_] := NestWhileList[FromDigits[Rest[IntegerDigits[#]]] &, n, # > 9 &]; Select[Range[4, 88], Or @@ IntegerQ /@ Sqrt[Rest[ds[#^2]]] &] (* Jayanta Basu, Jul 10 2013 *)

a065808(m) = local(k, a, b, d, j, n, r); for(k=1, m, a=length(Str(n))-1; b=1; j=1; n=k^2; while(b, d=divrem(n, 10^j); if(d[1]>0&&issquare(d[2]), b=0; issquare(n, &r); print1(r, ","), if(j

Offset changed to 1 by Robert Israel, Oct 24 2017

cp's OEIS Frontend

A065792 a(1) = 9; 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.

Views

Author

Keywords

Comments

Crossrefs

A050629 a(n+1)^2 is next smallest nontrivial square containing a(n)^2 as a substring, initial term is 1.

Views

Author

Keywords

Crossrefs

Formula

Extensions

A065808 Square of n has a smaller square as its final digits.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Maple

Mathematica

PARI

Extensions