970225
domain: N
Appears in sequences
- Squares of sequence A001653: y^2 such that x^2 - 2*y^2 = -1 for some x.at n=4A008844
- Squares which are the concatenation of two nonzero squares.at n=28A039686
- Fixed points of A048673 and A064216: Numbers n such that if n = product_{k >= 1} (p_k)^(c_k), then Product_{k >= 1} (p_{k+1})^(c_k) = (2*n)-1, where p_k indicates the k-th prime, A000040(k).at n=8A048674
- Squares of Pell numbers.at n=9A079291
- a(n) = 2*a(n-1) + 2*a(n-3) + a(n-4), with a(0)=1, a(1)=2, a(3)=4, a(4)=10.at n=16A089928
- Powers equal to (sum of first k primes) plus 1, for some k >= 0.at n=2A110996
- Left truncatable squares, ending in 5.at n=26A117246
- Squares which are concatenation of two positive squares with possible intervening zeros.at n=33A147608
- Squares which are the sum of two or more consecutive squares.at n=29A151557
- Number of n X n 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=7A207398
- Fixed points of A245447 and A245448.at n=21A245449
- Square numbers not divisible by 100 that remain square when their most-significant (or leftmost) digit is removed.at n=32A247267
- Squares, without multiplicity, that are the concatenation of two integers (without leading zeros) the product of which is also a square.at n=30A258060
- Number of n X 2 0..n+2-2 arrays with upper left zero and lower right n+2-2 and each element differing from its diagonal and antidiagonal neighbors by one or two.at n=6A265474
- Number of nX7 0..n+7-2 arrays with upper left zero and lower right n+7-2 and each element differing from its diagonal and antidiagonal neighbors by one or two.at n=1A265479
- T(n,k)=Number of nXk 0..n+k-2 arrays with upper left zero and lower right n+k-2 and each element differing from its diagonal and antidiagonal neighbors by one or two.at n=29A265480
- T(n,k)=Number of nXk 0..n+k-2 arrays with upper left zero and lower right n+k-2 and each element differing from its diagonal and antidiagonal neighbors by one or two.at n=34A265480
- List of pairs of consecutive integers such that one of them is a square and their sum is also a square.at n=17A331261
- Odd numbers k for which A003961(k)-2k divides A003961(k)-sigma(k), where A003961 shifts the prime factorization one step towards larger primes, and sigma is the sum of divisors function.at n=17A349753
- Numbers k such that (A003961(k)-2*k) divides (A003961(k)-sigma(k)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1), and sigma is the sum of divisors function.at n=32A378980