A050636
a(n+1) is next smallest square ending with a(n), initial term is 4.
Original entry on oeis.org
4, 64, 1764, 6041764, 96126041764, 8584885596126041764, 1094573934406914368584885596126041764, 164840278246153785356947805564195221094573934406914368584885596126041764
Offset: 1
a(6) = 8584885596126041764 = 2929997542^2.
More terms from Ulrich Schimke (ulrschimke(AT)aol.com), Nov 06 2001
A050631
a(1)=2; for n>1, a(n)^2 is next smallest nontrivial square containing a(n-1)^2 as a substring.
Original entry on oeis.org
2, 7, 43, 136, 10158, 85927342, 738024797793593
Offset: 1
A065297
a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) properly contained in the digits of a(n+1)^2, with a(0)=1.
Original entry on oeis.org
1, 4, 13, 36, 113, 487, 1036, 3214, 10456, 36786, 100963, 319656, 1001964, 3165969, 10001786, 31626854, 100013919, 316256807, 1000029656, 3162322481, 10000115537
Offset: 0
13^2 = 169 and 36 is the next smallest number whose square (in this case 1296) properly contains the digits 1,6,9.
-
import Data.List ((\\), sort)
a065297 n = a065297_list !! n
a065297_list = 1 : f 1 (drop 2 a000290_list) where
f x (q:qs) | null (xs \\ sq) && sort xs /= sort sq = y : f y qs
| otherwise = f x qs
where y = a000196 q; sq = show q; xs = show (x * x)
-- Reinhard Zumkeller, Nov 22 2012
A050638
a(n+1) is next smallest square ending with a(n), initial term is 9.
Original entry on oeis.org
9, 49, 1849, 1671849, 24011671849, 408646172724011671849, 14079962896835441528408646172724011671849, 30988070410883251650062468506470600085614079962896835441528408646172724011671849
Offset: 1
More terms from Ulrich Schimke (ulrschimke(AT)aol.com), Nov 06 2001
A065298
a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) properly contained in the digits of a(n+1)^2, with a(0)=2.
Original entry on oeis.org
2, 7, 43, 136, 367, 1157, 3658, 10183, 32193, 101407, 320537, 1001842, 3166463, 10001923, 31627114, 100017313, 316599084, 1000104687, 3162331407, 10000483663
Offset: 0
43^2 = 1849 and 136 is the next smallest number whose square (in this case 18496) properly contains the digits 1,4,8,9.
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
A050632
a(n+1) is next smallest nontrivial square containing a(n) as a substring, initial term is 9.
Original entry on oeis.org
9, 49, 1849, 18496, 103184964, 7383508103184964, 544680602158273835081031849649
Offset: 1
Starting with a(2)=49, the sequence is identical to
A050630.
Showing 1-7 of 7 results.
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